Numerical Solution of Green’s Function for Solving Inhomogeneous Boundary Value Problems with Trigonometric Functions by New Technique

Abstract

A numerical technique is presented for solving integration operator of Green’s function. The approach is based on Hermite trigonometric scaling function on [0,2π], 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.

A numerical technique is presented for solving integration operator of Green’s function. The approach is based on Hermite trigonometric scaling function on [0,2π], 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.

Keywords

Numerical Technique, Differential Equation, Green’s Function, Hermite Trigonometric Scaling, Wavelet, Error Estimate

Numerical Technique, Differential Equation, Green’s Function, Hermite Trigonometric Scaling, Wavelet, Error Estimate

Cite this paper

Safdari, H. and Aghdam, Y. (2015) Numerical Solution of Green’s Function for Solving Inhomogeneous Boundary Value Problems with Trigonometric Functions by New Technique.*Applied Mathematics*, **6**, 764-772. doi: 10.4236/am.2015.65072.

Safdari, H. and Aghdam, Y. (2015) Numerical Solution of Green’s Function for Solving Inhomogeneous Boundary Value Problems with Trigonometric Functions by New Technique.

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