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A semianalytical technique for solving nonlinear partial differential equations
Author(s) -
Haran Bala S.,
White Ralph E.
Publication year - 1996
Publication title -
computer applications in engineering education
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.478
H-Index - 29
eISSN - 1099-0542
pISSN - 1061-3773
DOI - 10.1002/(sici)1099-0542(1996)4:3<229::aid-cae5>3.0.co;2-f
Subject(s) - maple , nonlinear system , partial differential equation , discretization , numerical partial differential equations , mathematics , method of lines , newton's method , computer science , differential equation , mathematical analysis , ordinary differential equation , differential algebraic equation , physics , quantum mechanics , botany , biology
A semianalytical technique is presented using Maple to solve coupled nonlinear partial differential equations (PDEs). The technique is based on analytically solving the equations resulting from discretizing the spatial coordinate of the PDEs and using quasilinearization with Newton's method to treat nonlinear terms. © 1996 John Wiley & Sons, Inc.