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Numerical Solution of Green’s Function for Solving Inhomogeneous Boundary Value Problems with Trigonometric Functions by New Technique
Department of Mathematics, Shahid Rajaee Teacher Training University, Tehran, Iran
Department of Mathematics, Shahid Rajaee Teacher Training University, Tehran, Iran
- 1 Department of Mathematics, Shahid Rajaee Teacher Training University, Tehran, Iran
- 2 Department of Mathematics, Shahid Rajaee Teacher Training University, Tehran, Iran
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Abstract
A numerical technique is presented for solving integration operator of Green’s function. The approach is based on Hermite trigonometric scaling function on [0,2 π ], which is constructed for Hermite interpolation. The operational matrices of derivative for trigonometric scaling function are presented and utilized to reduce the solution of the problem. One test problem is presented and errors plots show the efficiency of the proposed technique for the studied problem.
KeywordsNumerical TechniqueDifferential EquationGreen’s FunctionHermite Trigonometric ScalingWaveletError Estimate
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