Algorithms for nonlinear fractional partial differential equations: A selection of numerical methods
Słowa kluczowe
Fractional differential equations, differential transform method, homotopy perturbation method, variational iteration method, Adomian decomposition methodAbstrakt
Fractional order partial differential equations, as generalization of classical integer order partial differential equations, are increasingly used to model problems in fluid flow, finance and other areas of applications. In this paper we present a collection of numerical algorithms for the solution of nonlinear partial differential equations with space- and time-fractional derivatives. The fractional derivatives are considered in the Caputo sense. Two numerical examples are given to demonstrate the effectiveness of the present methods. Results show that the numerical schemes are very effective and convenient for solving nonlinear partial differential equations of fractional order.Pobrania
Opublikowane
2008-06-01
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MOMANI, Shaher, ODIBAT, Zaid & HASHIM, Ishak. Algorithms for nonlinear fractional partial differential equations: A selection of numerical methods. Topological Methods in Nonlinear Analysis [online]. 1 czerwiec 2008, T. 31, nr 2, s. 211–226. [udostępniono 22.7.2024].
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