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1993•Journal of Engineering and Applied Sciences , University of Engineering and Technology, PeshawarOpen access

BACKWARD CONSTRAINTS METHOD USING SUCCESSIVE RELAXATION APPLIED TO PARTIAL DIFFERENTIAL EQUATIONS

Mumtaz Khan, Shah Jehan, Dagny Butler

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Abstract

This paper deals with the problem of obtaining numerical approximation to solutions of a system of partial differential equations by backward constraints using successive relaxation. We have shown that the backward constraints method is stable and highly accurate for a method of lines solution of model linear partial differential equations.

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What this paper is about

This paper deals with the problem of obtaining numerical approximation to solutions of a system of partial differential equations by backward constraints using successive relaxation. We have shown that the backward constraints method is stable and highly accurate for a method of lines solution of model linear partial differential equations.

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Available abstract

This paper deals with the problem of obtaining numerical approximation to solutions of a system of partial differential equations by backward constraints using successive relaxation. We have shown that the backward constraints method is stable and highly accurate for a method of lines solution of model linear partial differential equations.

Key concepts: Numerical partial differential equations, Relaxation (psychology), Exponential integrator, Mathematics, Partial differential equation, Method of characteristics, First-order partial differential equation, Stochastic partial differential equation

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