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Solution of nonlinear differential equation and special functions
Author(s) -
Singh Jagdev,
Kumar Devendra,
Kumar Bansal Manish
Publication year - 2019
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5918
Subject(s) - mathematics , hermite polynomials , legendre polynomials , nonlinear system , special functions , differential equation , mathematical analysis , series (stratigraphy) , function (biology) , physics , paleontology , quantum mechanics , evolutionary biology , biology
In this paper, we find the approximate solution of a nonlinear differential equations pertaining to M‐series,H ¯ ‐function, and I‐function of two variables by making use of the Hermite, Legendre, and Jacobi polynomials. The nonlinear differential equations play a key role in distinct branches of engineering and physics and many vibration problems. The results obtained in the present study are general in nature and can be used to obtain the solution of various problems of physics and engineering.