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- W2739873721 abstract "Selecting the appropriate basis for approximating the numerical solution of an integral equation has an important role in making the precise solution. It can be selected to minimize the error of any unknown function of an integral equation. Fourier series approximation can be used as a basis for determining the unknown coecients of the series when the unknown function is periodic. If the numerical solution of integral is to be improved, then the numerical solution of integral equation will be improved, This can be achieved by determining the appropriate weights and nodes to minimize the error of integration. In application of different methods of numerical integration, using appropriate orthogonal polynomials can improve the solution, Having some additional equations in the procedure will increase the degree of precision. In this paper we investigate these procedures for optimizing the methods, numerical examples and tables are nally presented for the comparison." @default.
- W2739873721 created "2017-08-08" @default.
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- W2739873721 date "2011-01-01" @default.
- W2739873721 modified "2023-09-26" @default.
- W2739873721 title "Optimized Methods for Improving the Numerical Solution of Integral Equations" @default.
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