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Computational schemes for integro-differential systems

By M. Ganesh


Abstract: This paper is concerned with efficient computational schemes for solving nonlinear integro-differential equations. In particular our work is motivated by a differential-integralalgebraic system modelling physical processes in catalytic combustion and a Bénard convection problem. Our approaches include simple computational scheme based on a finite difference and product integration method, the celebrated orthogonal collocation method as well as a recently investigated efficient discrete Petrov-Galerkin method

Topics: Key-Words, Collocation, Combustion, Discrete Petrov-Galerkin, Integro-Differential Equations, Nonlinear, Splines
Year: 2014
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