Numerical solution via Laplace transforms of a fractional order evolution equation
نویسندگان
چکیده
منابع مشابه
Numerical Solution via Laplace Transforms of a Fractional Order Evolution Equation
We consider the discretization in time of a fractional order diffusion equation. The approximation is based on a further development of the approach of using Laplace transformation to represent the solution as a contour integral, evaluated to high accuracy by quadrature. This technique reduces the problem to a finite set of elliptic equations with complex coefficients, which may be solved in pa...
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*Correspondence: Rudolf A. Treumann, International Space Science Institute, ISSI, Hallerstrasse 6, CH-3012 Bern, Switzerland e-mail: [email protected] A new form of the Laplace transform is reviewed as a paradigm for an entire class of fractional functional transforms. Various of its properties are discussed. Such transformations should be useful in application to differential/integral equat...
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ژورنال
عنوان ژورنال: Journal of Integral Equations and Applications
سال: 2010
ISSN: 0897-3962
DOI: 10.1216/jie-2010-22-1-57