Paper Citation Record · LEDGER

Adomian decomposition method reformulated using dimensionless nonlinear perturbation theory

As of 12 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 0 inbound Pith citation observations for arXiv:2501.10398.

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2501.10398 v1

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43 of 43 outbound references displayed

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Outbound references

Observation cc24358d-97aa-4963-bc5d-47b1adea62a1 · outbound

This paper cites Reviews of Modern Ph ysics 35(1), 185–207 (1963) https://doi.org/10.1103/RevModPhys.35.185.

Adomian decomposition method reformulated using dimensionless nonlinear perturbation theory Reviews of Modern Ph ysics 35(1), 185–207 (1963) https://doi.org/10.1103/RevModPhys.35.185

Reference 1

Resolution: verified exact; doi, observed 2026-08-10T22:45:14.984048Z

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This paper cites Journa l of Mathematical Analysis and Applications 55(2), 441–452 (1976) https://doi.org/10.1016/0022-247X(76)90174-8.

Adomian decomposition method reformulated using dimensionless nonlinear perturbation theory Journa l of Mathematical Analysis and Applications 55(2), 441–452 (1976) https://doi.org/10.1016/0022-247X(76)90174-8

Reference 2

Resolution: verified exact; doi, observed 2026-08-10T22:45:14.965828Z

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This paper cites Journal of M athematical Analysis and Applications 76(2), 309–327 (1980) https://doi.org/10.1016/0022-247X(80)90035-9.

Adomian decomposition method reformulated using dimensionless nonlinear perturbation theory Journal of M athematical Analysis and Applications 76(2), 309–327 (1980) https://doi.org/10.1016/0022-247X(80)90035-9

Reference 4

Resolution: verified exact; doi, observed 2026-08-10T22:45:14.939305Z

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Observation 59cb6a6b-4500-4cef-89a8-75924bc15072 · outbound

This paper cites Mathematics in Science and Eng ineering, vol.

Adomian decomposition method reformulated using dimensionless nonlinear perturbation theory Mathematics in Science and Eng ineering, vol

Reference 5

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Observation c796ebdc-24d6-4764-8b7d-d16416ab1007 · outbound

This paper cites Jou rnal of Mathematical Analysis and Applications 96(2), 330–340 (1983) https://doi.org/10.1016/0022-247X(83)90044- 6 6.

Adomian decomposition method reformulated using dimensionless nonlinear perturbation theory Jou rnal of Mathematical Analysis and Applications 96(2), 330–340 (1983) https://doi.org/10.1016/0022-247X(83)90044- 6 6

Reference 6

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Observation ab43c899-8e97-4dc0-acfa-3c5a8c352cec · outbound

This paper cites Journal of Mathematical Analysis and Applications 113(1), 202–209 (1986) https:// doi.org/10.1016/0022-247X(86)90344-6.

Adomian decomposition method reformulated using dimensionless nonlinear perturbation theory Journal of Mathematical Analysis and Applications 113(1), 202–209 (1986) https:// doi.org/10.1016/0022-247X(86)90344-6

Reference 7

Resolution: verified exact; doi, observed 2026-08-10T22:45:14.911712Z

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Observation e68417fa-7587-4e60-a879-60fc244c8099 · outbound

This paper cites Mathematical and Computer Modelling 13(7), 17–43 (1990) https://doi.org/10.1016/ 0895-7177(90)90125-7.

Adomian decomposition method reformulated using dimensionless nonlinear perturbation theory Mathematical and Computer Modelling 13(7), 17–43 (1990) https://doi.org/10.1016/ 0895-7177(90)90125-7

Reference 8

Resolution: malformed identifier; raw_fallback, observed 2026-08-10T22:45:15.291442Z

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Observation 3675ea62-0a7e-420e-b3ef-79ce9f3f43a5 · outbound

This paper cites Computers & Mathematics with Applications 22(8), 91–94 (1991) https://doi.org/10.1016/ 0898-1221(91)90017-X.

Adomian decomposition method reformulated using dimensionless nonlinear perturbation theory Computers & Mathematics with Applications 22(8), 91–94 (1991) https://doi.org/10.1016/ 0898-1221(91)90017-X

Reference 9

Resolution: malformed identifier; raw_fallback, observed 2026-08-10T22:45:15.278048Z

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Observation 2a3b232d-ad0e-446b-b774-a275fb2cf53b · outbound

This paper cites Springer, Dordrecht (1994).

Adomian decomposition method reformulated using dimensionless nonlinear perturbation theory Springer, Dordrecht (1994)

Reference 10

Resolution: verified exact; doi, observed 2026-08-10T22:45:14.896051Z

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This paper cites The European Physical Journal Plus 132(5), 236 (2017) https://doi.org/10.1140/epjp/i2017-11506- 9.

Adomian decomposition method reformulated using dimensionless nonlinear perturbation theory The European Physical Journal Plus 132(5), 236 (2017) https://doi.org/10.1140/epjp/i2017-11506- 9

Reference 11

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This paper cites The European Physical Journal Plus 137(11), 1291 (2022) https://doi.org/10.1140/epjp/s13360-022-03480-2.

Adomian decomposition method reformulated using dimensionless nonlinear perturbation theory The European Physical Journal Plus 137(11), 1291 (2022) https://doi.org/10.1140/epjp/s13360-022-03480-2

Reference 12

Resolution: verified exact; doi, observed 2026-08-10T22:45:14.864433Z

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This paper cites Journal of Applied Mathematics and Computing 68(3), 2065–2082 (2022) https://doi.org/10.1007/s12190- 021-01613-x.

Adomian decomposition method reformulated using dimensionless nonlinear perturbation theory Journal of Applied Mathematics and Computing 68(3), 2065–2082 (2022) https://doi.org/10.1007/s12190- 021-01613-x

Reference 13

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This paper cites The European Physical J ournal Plus 137(1), 63 (2022) https://doi.org/10.1140/epjp/s13360-021-02301-2.

Adomian decomposition method reformulated using dimensionless nonlinear perturbation theory The European Physical J ournal Plus 137(1), 63 (2022) https://doi.org/10.1140/epjp/s13360-021-02301-2

Reference 14

Resolution: verified exact; doi, observed 2026-08-10T22:45:14.836325Z

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This paper cites The European Physical Journal Plus 138(3), 300 (2023) https://doi.org/10.1140/epjp/ s13360-023-03905-6.

Adomian decomposition method reformulated using dimensionless nonlinear perturbation theory The European Physical Journal Plus 138(3), 300 (2023) https://doi.org/10.1140/epjp/ s13360-023-03905-6

Reference 15

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This paper cites Numerical Methods for Partial Diﬀerential Equatio ns 27(4), 749–766 (2011) https://doi.org/10.1002/num.20549.

Adomian decomposition method reformulated using dimensionless nonlinear perturbation theory Numerical Methods for Partial Diﬀerential Equatio ns 27(4), 749–766 (2011) https://doi.org/10.1002/num.20549

Reference 16

Resolution: verified exact; doi, observed 2026-08-10T22:45:14.813951Z

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This paper cites Communicat ions in Nonlinear Science and Numerical Simulation 56, 354–364 (2018) https://doi.org/10.1016/j.cnsns.2017.08.025.

Adomian decomposition method reformulated using dimensionless nonlinear perturbation theory Communicat ions in Nonlinear Science and Numerical Simulation 56, 354–364 (2018) https://doi.org/10.1016/j.cnsns.2017.08.025

Reference 17

Resolution: verified exact; doi, observed 2026-08-10T22:45:14.798665Z

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Observation 87601c49-cba1-415c-9212-4f574b8edf77 · outbound

This paper cites Mathematics and Computers in Simulation 40(1), 107–114 (1995) https://doi.org/10.1016/0378-4754(95)00021-8.

Adomian decomposition method reformulated using dimensionless nonlinear perturbation theory Mathematics and Computers in Simulation 40(1), 107–114 (1995) https://doi.org/10.1016/0378-4754(95)00021-8

Reference 18

Resolution: verified exact; doi, observed 2026-08-10T22:45:14.785923Z

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Observation 28ab805b-f277-4808-9526-fa4613cfab87 · outbound

This paper cites Mathematical and Computer Modelling 24(11), 39–46 (1996) https://doi.org/10.1016/S0895-7177(96)00171-9.

Adomian decomposition method reformulated using dimensionless nonlinear perturbation theory Mathematical and Computer Modelling 24(11), 39–46 (1996) https://doi.org/10.1016/S0895-7177(96)00171-9

Reference 19

Resolution: verified exact; doi, observed 2026-08-10T22:45:14.773138Z

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Observation e0e23aac-e105-4ce5-a903-42e048bbbd05 · outbound

This paper cites Journal of Applied Mathematics and Physics 04(12), 2215–2232 (2016) https://doi.

Adomian decomposition method reformulated using dimensionless nonlinear perturbation theory Journal of Applied Mathematics and Physics 04(12), 2215–2232 (2016) https://doi

Reference 20

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This paper cites International Journal of Applied a nd Computational Mathematics 8(2), 81 (2022) https://doi.org/10.1007/s40819-022-01285-6 7.

Adomian decomposition method reformulated using dimensionless nonlinear perturbation theory International Journal of Applied a nd Computational Mathematics 8(2), 81 (2022) https://doi.org/10.1007/s40819-022-01285-6 7

Reference 21

Resolution: verified exact; doi, observed 2026-08-10T22:45:14.756933Z

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This paper cites Comput- ers & Mathematics with Applications 59(2), 622–628 (2010) https://doi.org/10.1016/j.camwa.

Adomian decomposition method reformulated using dimensionless nonlinear perturbation theory Comput- ers & Mathematics with Applications 59(2), 622–628 (2010) https://doi.org/10.1016/j.camwa

Reference 22

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This paper cites A pplied Mathematics and Computation 202(1), 113–120 (2008) https://doi.org/10.1016/j.amc.2008.01.027.

Adomian decomposition method reformulated using dimensionless nonlinear perturbation theory A pplied Mathematics and Computation 202(1), 113–120 (2008) https://doi.org/10.1016/j.amc.2008.01.027

Reference 23

Resolution: verified exact; doi, observed 2026-08-10T22:45:14.736018Z

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This paper cites In: Wang, D.X.

Adomian decomposition method reformulated using dimensionless nonlinear perturbation theory In: Wang, D.X

Reference 24

Resolution: verified exact; doi, observed 2026-08-10T22:45:14.722003Z

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This paper cites Applied Mathematics Letters 48, 177–179 (2015) https://doi.org/10.

Adomian decomposition method reformulated using dimensionless nonlinear perturbation theory Applied Mathematics Letters 48, 177–179 (2015) https://doi.org/10

Reference 25

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This paper cites Journal of Mathematical Analysis and Applications 91(1), 39–46 (1983) https://doi.org/10.1016/0022-247X(83)90090-2.

Adomian decomposition method reformulated using dimensionless nonlinear perturbation theory Journal of Mathematical Analysis and Applications 91(1), 39–46 (1983) https://doi.org/10.1016/0022-247X(83)90090-2

Reference 26

Resolution: verified exact; doi, observed 2026-08-10T22:45:14.707424Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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This paper cites Journal of Math- ematical Analysis and Applications 102(2), 415–419 (1984) https://doi.org/10.1016/0022- 247X(84)90181-1.

Adomian decomposition method reformulated using dimensionless nonlinear perturbation theory Journal of Math- ematical Analysis and Applications 102(2), 415–419 (1984) https://doi.org/10.1016/0022- 247X(84)90181-1

Reference 27

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This paper cites Kybernete s 37(7), 910–955 (2008) https://doi.org/10.1108/03684920810884342.

Adomian decomposition method reformulated using dimensionless nonlinear perturbation theory Kybernete s 37(7), 910–955 (2008) https://doi.org/10.1108/03684920810884342

Reference 28

Resolution: verified exact; doi, observed 2026-08-10T22:45:14.691685Z

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Observation 9e9be1b3-973d-4983-9767-a418ce199dc8 · outbound

This paper cites A Touchs tone Book.

Adomian decomposition method reformulated using dimensionless nonlinear perturbation theory A Touchs tone Book

Reference 29

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This paper cites 6, (1772).

Adomian decomposition method reformulated using dimensionless nonlinear perturbation theory 6, (1772)

Reference 30

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This paper cites De L’Imprimerie deCrapelet : Chez J.B.M.

Adomian decomposition method reformulated using dimensionless nonlinear perturbation theory De L’Imprimerie deCrapelet : Chez J.B.M

Reference 31

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This paper cites Astrophysics and Space Scien ce Library, vol.

Adomian decomposition method reformulated using dimensionless nonlinear perturbation theory Astrophysics and Space Scien ce Library, vol

Reference 32

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This paper cites Annalen der Physik 384(4), 361–376 (1926) https://doi.org/10.1002/andp.19263840404.

Adomian decomposition method reformulated using dimensionless nonlinear perturbation theory Annalen der Physik 384(4), 361–376 (1926) https://doi.org/10.1002/andp.19263840404

Reference 33

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This paper cites Physical Review 28(6), 1049–1070 (1926) https://doi.org/10.1103/PhysRev.28.1049.

Adomian decomposition method reformulated using dimensionless nonlinear perturbation theory Physical Review 28(6), 1049–1070 (1926) https://doi.org/10.1103/PhysRev.28.1049

Reference 34

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This paper cites Canadian Journal of Physics 33(12), 709–712 (1955) https://doi.org/10.1139/p55-087.

Adomian decomposition method reformulated using dimensionless nonlinear perturbation theory Canadian Journal of Physics 33(12), 709–712 (1955) https://doi.org/10.1139/p55-087

Reference 35

Resolution: verified exact; doi, observed 2026-08-10T22:45:14.659189Z

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This paper cites Physical Review 76(6), 769–789 (1949) https://doi.org/10.1103/PhysRev.76.769.

Adomian decomposition method reformulated using dimensionless nonlinear perturbation theory Physical Review 76(6), 769–789 (1949) https://doi.org/10.1103/PhysRev.76.769

Reference 36

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Unavailable: canonical work link unavailable.

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This paper cites Applied Mathematics and Computation 111(1), 33–51 (2000) https://doi.org/10.1016/S0096- 3003(99)00063-6.

Adomian decomposition method reformulated using dimensionless nonlinear perturbation theory Applied Mathematics and Computation 111(1), 33–51 (2000) https://doi.org/10.1016/S0096- 3003(99)00063-6

Reference 37

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This paper cites International Jour nal of Computer Mathematics 93(8), 1299–1319 (2016) https://doi.org/10.1080/00207160.2015.1045421 8.

Adomian decomposition method reformulated using dimensionless nonlinear perturbation theory International Jour nal of Computer Mathematics 93(8), 1299–1319 (2016) https://doi.org/10.1080/00207160.2015.1045421 8

Reference 38

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This paper cites Applicable Analysis and Discrete Mathematics 10(1), 168–185 (2016) https://doi.org/ 10.2298/AADM160123001K.

Adomian decomposition method reformulated using dimensionless nonlinear perturbation theory Applicable Analysis and Discrete Mathematics 10(1), 168–185 (2016) https://doi.org/ 10.2298/AADM160123001K

Reference 39

Resolution: verified exact; doi, observed 2026-08-10T22:45:14.618198Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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This paper cites Applied Mathematical Modelling 37(8), 6008–6017 (2013) https://doi.org/10.1016/j.apm.2012.12.007.

Adomian decomposition method reformulated using dimensionless nonlinear perturbation theory Applied Mathematical Modelling 37(8), 6008–6017 (2013) https://doi.org/10.1016/j.apm.2012.12.007

Reference 40

Resolution: verified exact; doi, observed 2026-08-10T22:45:14.603724Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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This paper cites Physical Review E 71(3), 036702 (2005) https://doi.org/10.1103/PhysRevE.71.036702.

Adomian decomposition method reformulated using dimensionless nonlinear perturbation theory Physical Review E 71(3), 036702 (2005) https://doi.org/10.1103/PhysRevE.71.036702

Reference 41

Resolution: verified exact; doi, observed 2026-08-10T22:45:14.587988Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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This paper cites Part 2: Numerical application.

Adomian decomposition method reformulated using dimensionless nonlinear perturbation theory Part 2: Numerical application

Reference 42

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Observation 0a0e3f6f-b3d0-4f7c-b2b6-0d6dfe745ac7 · outbound

This paper cites Physica D: Nonlinear Phenomena 16(3), 285–317 (1985) https://doi.org/10.1016/ 0167-2789(85)90011-9.

Adomian decomposition method reformulated using dimensionless nonlinear perturbation theory Physica D: Nonlinear Phenomena 16(3), 285–317 (1985) https://doi.org/10.1016/ 0167-2789(85)90011-9

Reference 43

Resolution: malformed identifier; raw_fallback, observed 2026-08-10T22:45:15.175258Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 567e3d57-9ee1-406b-96ae-2e51f28799f2 · outbound

This paper cites an unresolved cited work.

Adomian decomposition method reformulated using dimensionless nonlinear perturbation theory Unresolved cited work

Reference 44

Resolution: verified exact; doi, observed 2026-08-10T22:45:14.560940Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Pith citing papers

No inbound Pith citation observations are available.