A Computational Method for Solving Parabolic Partial Differential Equations.

Abstract

This paper presents a new numerical method, the error method, for solving parabolic type partial differential equations, linear or nonlinear. In particular, by comparing with the regular successive iterative method, more beneficial results in the application to nonlinear problems. Three nonlinear examples were studied by using this method. All resulted in large reduction of number of iteration loops and CPU time required in comparing to the corresponding regular successive method used. Generalization and modification of this method appears appropriate to extend its application to elliptical type partial differential equation so that problems with 'isolated' events (such as those with ignition spots) may be handled with this method. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1979
Accession Number
ADA079534

Entities

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  • Thomas B. C. Shen

Organizations

  • University of Massachusetts Dartmouth

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  • Materials and Manufacturing Processes

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  • Mathematics

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  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)