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FourthOrder Numerical Solution Of A Fractional Pde With The Nonlinear Source Term In The Electroanalytical Chemistry
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نویسنده
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Abbaszade M ,Mohebbi A
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منبع
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Iranian Journal Of Mathematical Chemistry - 2012 - دوره : 3 - شماره : 2 - صفحه:195 -220
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چکیده
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The aim of this paper is to study the high order difference scheme for the solution of a fractional partial differential equation (pde) in the electroanalytical chemistry. the space fractional derivative is described in the riemann-liouville sense. in the proposed scheme we discretize the space derivative with a fourth-order compact scheme and use the grunwald- letnikov discretization of the riemann-liouville derivative to obtain a fully discrete implicit scheme and analyze the solvability, stability and convergence of proposed scheme using the fourier method. the convergence order of method is o(? + ??). numerical examples demonstrate the theoretical results and high accuracy of proposed scheme.
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کلیدواژه
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Electroanalytical Chemistry ,Reaction-Sub-Diffusion ,Compact Finite Difference ,Fourier Analysis ,Solvability ,Unconditional Stability ,Convergence
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آدرس
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University Of Kashan, ایران, University Of Kashan, ایران
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پست الکترونیکی
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a_ mohebbi@kashanu.ac.ir
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Authors
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