2022Journal for Research in Applied Sciences and BiotechnologyOpen access

Using (Direct Computation, Variation Iteration, Successive Approximation and Regularization) Methods to Solve Linear Fredholm Integral Equation and Comparison of These Methods

Najibullah Yousefi, Hadia Jalal, Laila Popalzai

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Abstract

Integral equation is the equation in which the unknown function to be determined, appears under integral sign as it presented in introduction. I discussed about linear Fredholm integral equation in which it is one kind of integral equation and solved this equation by different methods (Direct Computation, Variational Iteration, Successive approximation and the Regularization methods and comparison of these methods in order to solve linear Fredholm integral equation). This paper has three parts: First part: I introduced the Fredholm integral equation Second part is methods that is written above and on third part, I solved one example by these different methods and compare the methods.

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What this paper is about

Integral equation is the equation in which the unknown function to be determined, appears under integral sign as it presented in introduction. I discussed about linear Fredholm integral equation in which it is one kind of integral equation and solved this equation by different methods (Direct Computation, Variational Iteration, Successive approximation and the Regularization methods and comparison of these methods in order to solve linear Fredholm integral equation). This paper has three parts: First part: I introduced the Fredholm integral equation Second part is methods that is written above and on third part, I solved one example by these different methods and compare the methods.

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Available abstract

Integral equation is the equation in which the unknown function to be determined, appears under integral sign as it presented in introduction. I discussed about linear Fredholm integral equation in which it is one kind of integral equation and solved this equation by different methods (Direct Computation, Variational Iteration, Successive approximation and the Regularization methods and comparison of these methods in order to solve linear Fredholm integral equation). This paper has three parts: First part: I introduced the Fredholm integral equation Second part is methods that is written above and on third part, I solved one example by these different methods and compare the methods.

Key concepts: Integral equation, Fredholm integral equation, Mathematics, Fredholm theory, Summation equation, Electric-field integral equation, Integro-differential equation, Mathematical analysis

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Using (Direct Computation, Variation Iteration, Successive Approximation and Regularization) Methods to Solve Linear Fredholm Integral Equation and Comparison of These Methods — Research Paper | ScholarLens