A semi numerical-analytical method for solving nonlinear integro-differential equations
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CitationShali, J. A. ve Darania, P. (2009). A semi numerical-analytical method for solving nonlinear integro-differential equations. Maltepe Üniversitesi. s. 213.
In this paper, we present a new scheme based on Taylor series to convert high-order nonlinear Volterra-Fredholm integro-differential equations to a M-order linear differential equations which may be integrated using classical methods. Also, the objective of this paper is to assess both the applicability and the accuracy of linearization method in several problems of general high-order nonlinear Volterra-Fredholm integro-differential equations. This method provides piecewise linear differential equations which can be easily integrated. It is shown that the accuracy of linearization method can be substantially improved by employing variable steps which adjust themselves to the solution. Numerical examples are used to illustrate the preciseness and effectiveness of the proposed method.
SourceInternational Conference of Mathematical Sciences
- Makale Koleksiyonu 
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