Exact solutions for variable coefficients fourth-order parabolic partial differential equations in higher-dimensional spaces

Authors:
Abdul-Majid Wazwaz
Affiliations:
Department of Mathematics and Computer Science, Saint Xavier University, 3700 West 103rd Street, Chicago, IL
Venue:
Applied Mathematics and Computation
Year:
2002

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Abstract

In this paper analytic solution of variable coefficient fourth-order parabolic partial differential equation in two and three space variables are developed. The calculations are accelerated by using the noise terms phenomenon for nonhomogeneous problems. Numerical examples are investigated to illustrate the pertinent features of the proposed algorithm.