Solution of nonlinear differential equation and special functions |
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| Authors: | Jagdev Singh Devendra Kumar Manish Kumar Bansal |
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| Affiliation: | 1. Department of Mathematics, JECRC University, Jaipur, 303905 Rajasthan, India;2. Department of Mathematics, University of Rajasthan, Jaipur, 302004 Rajasthan, India;3. Department of Applied Sciences, Government Engineering College, Banswara, 327001 Rajasthan, India |
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| Abstract: | In this paper, we find the approximate solution of a nonlinear differential equations pertaining to M-series, -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. |
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| Keywords: | Hermite polynomials H¯-function I-function Jacobi polynomials Legendre polynomials M-series |
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