Numerical Methods for Unconstrained Optimization and Nonlinear Equations (Classics in Applied Mathematics, 16): | Guide books

Numerical Methods for Unconstrained Optimization and Nonlinear Equations (Classics in Applied Mathematics, 16)February 1996

February 1996

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ISBN:978-0-89871-364-0

Published:01 February 1996

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1996

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Numerical solutions of some nonlinear evolution equations by Chebyshev spectral collocation methods

Chebyshev spectral collocation methods (known as El-Gendi methods-as described by El-Gendi in 1969 and Mihaila and Mihaila in 2002) are presented to deal with some nonlinear evolution equations including the Korteweg-de Vries (KdV), the modified KdV, ...
Numerical solution of nonlinear fractional differential equations by spline collocation methods

An initial value problem for nonlinear fractional differential equations is considered. Using an integral equation reformulation of the initial value problem, some regularity properties of the exact solution are derived. On the basis of these properties,...
Higher order numerical methods for solving fractional differential equations
Abstract
In this paper we introduce higher order numerical methods for solving fractional differential equations. We use two approaches to this problem. The first approach is based on a direct discretisation of the fractional differential operator: we ...