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The use of variational iteration method to solve a nonlinear Volterra-Fredholm integro-differential equation

Sh. S. Behzadi
장전수학회 (Jangjeon Mathematical Society)|2012.01|Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집) (Proceedings of the Jangjeon Mathematical Society)|제15권 제1호|pp. 11-18|DOI 10.17777/pjms.2012.15.1.002

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키워드

Volterra - Fredholm integral equationsIntegro-differential equationsVariational iteration method (VIM)Modified Adomian decomposition method (MADM)Taylor polynomials method (TPM)
주제분류수학

초록

In this paper, a nonlinear Volterra-Fredholm integro-differential equation is solved by using the He’s variational iteration method (VIM). The approximate solution of this equation is calculated in the form of a series which its components are computed easily. The accuracy of the proposed numerical scheme is examined by comparing with the modified Adomian decomposition method (MADM) and Taylor polynomials method (TPM). The existance, uniqueness and convergence of the proposed method are proved.

Abstract

In this paper, a nonlinear Volterra-Fredholm integro-differential equation is solved by using the He’s variational iteration method (VIM). The approximate solution of this equation is calculated in the form of a series which its components are computed easily. The accuracy of the proposed numerical scheme is examined by comparing with the modified Adomian decomposition method (MADM) and Taylor polynomials method (TPM). The existance, uniqueness and convergence of the proposed method are proved.

참고문헌 (24)

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