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Hamidreza Tabrizidooz

Hamidreza Tabrizidooz

Assistant Professor

College: Faculty of Mathematics

Department: Applied Mathematics

Degree: Ph.D

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Hamidreza Tabrizidooz

Assistant Professor Hamidreza Tabrizidooz

College: Faculty of Mathematics - Department: Applied Mathematics Degree: Ph.D |

Legendre wavelet Galerkin method for semi-discretizing one dimensional diffusion equations

Authorsحمیدرضا تبریزی دوز
Conference Title55th annual Iranian Mathematics Conference
Holding Date of Conference2024-08-14 - 2024-08-16
Event Place1 - مشهد
Presented byفردوسی مشهد
PresentationSPEECH
Conference LevelInternational Conferences

Abstract

In this paper, we develop a Legendre wavelet Galerkin method for semi-discretizing one dimensional diffusion equations. Since the Legendre wavelet functions do not satisfy the boundary conditions of the problem, the Galerkin bases are obtained by integrating Legendre wavelet functions. The orthonormality and other properties of Legendre wavelets are used to transform initial-boundary value problems governed by diffusion equations into systems of ordinary differential equations