A numerical solution of the Cauchy problem based on trigonometric interpolation
β Scribed by P Hellemans
- Publisher
- Elsevier Science
- Year
- 1982
- Tongue
- English
- Weight
- 146 KB
- Volume
- 8
- Category
- Article
- ISSN
- 0377-0427
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β¦ Synopsis
A one step method, based on trigonometric approximation, for solving ordinary differential equations is derived and numerically tested. The method is based on an idea which was introduced by S. Fatunla in [3].
π SIMILAR VOLUMES
## Abstract Let __D__ β β^__n__^ be a bounded domain with piecewiseβsmooth boundary, and __q__(__x__,__t__) a smooth function on __D__ Γ [0, __T__]. Consider the timeβlike Cauchy problem magnified image magnified image Given __g__, __h__ for which the equation has a solution, we show how to approxi
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