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

AM > Vol.6 No.5, May 2015

Volume 6, Issue 5 (May 2015)

ISSN Print: 2152-7385 ISSN Online: 2152-7393

Google-based Impact Factor: 0.58 Citations

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

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DOI: 10.4236/am.2015.65072 3,147 Downloads 4,574 Views Citations

Author(s)

Hamid Safdari, Yones Esmaeelzade Aghdam

Affiliation(s)

Department of Mathematics, Shahid Rajaee Teacher Training University, Tehran, Iran.

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.

KEYWORDS

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

Share and Cite:

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.

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