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spectral method for the diffusion equation with a source term
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نویسنده
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lateli ahcene ,boutaghou amor ,hamaizia tayeb
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منبع
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international journal of nonlinear analysis and applications - 2022 - دوره : 13 - شماره : 2 - صفحه:1343 -1355
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چکیده
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The aim of this paper is to investigate the legendre spectral method for solving the diffusion equation with a source term and mixed initial-boundary value problem in a finite rectangle ω2, we use some techniques to convert the problem to a system of ordinary differential equations and by an analysis matrical we find a general term defines all ordinary differential equations of this system, we solve this general term we get the desired approximate solution, we also present the error estimate.
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کلیدواژه
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diffusion equation ,spectral method ,orthogonal polynomials ,quadrature formula ,orthogonal matrix ,eigenvalues ,error estimate
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آدرس
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university of mentouri, institute of mathematics, department of mathematics, algeria, university of dr. yahia fares, institute of mathematics, department of mathematics, algeria, university of mentouri, institute of mathematics, department of mathematics, algeria
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پست الکترونیکی
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el.tayyeb@umc.edu.dz
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Authors
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