TCHEBYCHEV MULTI-WAVELET BASIS FOR SOLVING BOUNDARY INTEGRAL EQUATION

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BABOLIAN E.; FADAEI YAMI M.R.

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Journal Paper

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Journal: MATHEMATICAL SCIENCES Year:2009 | Volume:3 | Issue:2 Page(s): 213-230

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Information Journal Paper

Title

TCHEBYCHEV MULTI-WAVELET BASIS FOR SOLVING BOUNDARY INTEGRAL EQUATION

Author(s)

BABOLIAN E. | FADAEI YAMI M.R. | Issue Writer Certificate

Keywords

GALERKIN METHOD

TCHEBYCHEV MULTI-WAVELET

BOUNDARY INTEGRAL EQUATIONS

Abstract

In this paper, using orthogonally of Tchebychev polynomials, we present an orthonormal wavelet basis for L2[0, 1]. We use this basis for solving Neumann problems with GALERKIN METHOD. The property of this basis is that a variety of integral operators is represented in this basis as sparse matrices, to high precision. Some examples are solved to illustrate the efficiency and accuracy of this method.

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APA: Copy

BABOLIAN, E., & FADAEI YAMI, M.R.. (2009). TCHEBYCHEV MULTI-WAVELET BASIS FOR SOLVING BOUNDARY INTEGRAL EQUATION. MATHEMATICAL SCIENCES, 3(2), 213-230. SID. https://sid.ir/paper/322489/en

Vancouver: Copy

BABOLIAN E., FADAEI YAMI M.R.. TCHEBYCHEV MULTI-WAVELET BASIS FOR SOLVING BOUNDARY INTEGRAL EQUATION. MATHEMATICAL SCIENCES[Internet]. 2009;3(2):213-230. Available from: https://sid.ir/paper/322489/en

IEEE: Copy

E. BABOLIAN, and M.R. FADAEI YAMI, “TCHEBYCHEV MULTI-WAVELET BASIS FOR SOLVING BOUNDARY INTEGRAL EQUATION,” MATHEMATICAL SCIENCES, vol. 3, no. 2, pp. 213–230, 2009, [Online]. Available: https://sid.ir/paper/322489/en

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