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2018•International Journal of Mathematics and Systems ScienceOpen access

An Appropriate Numerical Method for Solving Nonlinear Volterra-Fredholm Integral Equations

Roghayeh Katani

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Abstract

This paper is concerned with the numerical solution of the mixed Volterra-Fredholm integral equations by using a version of the block by block method. This method efficient for linear and nonlinear equations and it avoids the need for spacial starting values. The convergence is proved and finally performance of the method is illustrated by means of some significative examples.

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What this paper is about

This paper is concerned with the numerical solution of the mixed Volterra-Fredholm integral equations by using a version of the block by block method. This method efficient for linear and nonlinear equations and it avoids the need for spacial starting values. The convergence is proved and finally performance of the method is illustrated by means of some significative examples.

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Available abstract

This paper is concerned with the numerical solution of the mixed Volterra-Fredholm integral equations by using a version of the block by block method. This method efficient for linear and nonlinear equations and it avoids the need for spacial starting values. The convergence is proved and finally performance of the method is illustrated by means of some significative examples.

Key concepts: Integral equation, Block (permutation group theory), Convergence (economics), Fredholm integral equation, Nonlinear system, Mathematics, Volterra integral equation, Applied mathematics

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