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Numerical solution of the Goursat problem by a nonlinear trapezoidal formula

โœ Scribed by D.J. Evans; B.B. Sanugi

Publisher
Elsevier Science
Year
1988
Tongue
English
Weight
188 KB
Volume
1
Category
Article
ISSN
0893-9659

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โœฆ Synopsis

In this paper the solution of the Goureat problem is obtained by the use of a nonlinear Trapezoidal formula based on geometic means. The numerical results indicate the new strategy to be superior.

๐Ÿ“œ SIMILAR VOLUMES

Numerical solution of a Cauchy problem f
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โœ Alain-Yves Le Roux; Marie-Noelle Le Roux ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 339 KB

In this paper, the authors propose a numerical method to compute the solution of the Cauchy problem: w t -(w m w x ) x = w p , the initial condition is a nonnegative function with compact support, m > 0, p m + 1. The problem is split into two parts: a hyperbolic term solved by using the Hopf and Lax