논문KCI 등재
Homotopy Perturbation Method based on Orthogonal Polynomials
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초록
In this paper, the homotopy perturbation method (HPM) on the basis of orthogonal polynomials is applied for solving nonlinear ordinary differential equations. Comparison between homotopy perturbation method based on Legendre, Chebyshev and Taylor expansions is performed by solving some nonlinear differential equations, using them.
Abstract
Homotopy Perturbation Method, Legendre polynomials, Chebyshev polynomials,nonlinear differential equations.
참고문헌 (11)
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관련 논문AI추천
Solutions of a class of singular second-order IVPs by variational homotopy perturbation methodM. Mahdavi, M. Matinfar장전수학회 · Advanced Studies in Contemporary Mathematics2010 · 제20권 제4호ADOMIAN DECOMPOSITION METHOD WITH SECOND KIND CHEBYSHEV POLYNOMIALSY. Liu장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2009 · 제12권 제1호A New Combined Homotopy-Laplace Decomposition Method for Solving DDEs of Order (1, 2)Ananth Kumar S. R., R. Rangarajan장전수학회 · Advanced Studies in Contemporary Mathematics2018 · 제28권 제1호The use of variational iteration method to solve a nonlinear Volterra-Fredholm integro-differential equationSh. S. Behzadi장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2012 · 제15권 제1호Homotopy analysis and Homotopy Pade methods for mixed Volterra-Fredholm integral equationsG. Hojjati, H. Kheiri, S. Fazeli장전수학회 · Advanced Studies in Contemporary Mathematics2010 · 제20권 제4호SOLVING PAINLEVE EQUATION OF TYPE 1 USING HOMOTOPY PADE METHODG. Hojjati, H. Kheiri, S. IRANDOUST-PAKCHIN장전수학회 · Advanced Studies in Contemporary Mathematics2013 · 제23권 제2호
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