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Zbl 1191.65100
Chang, Shih-Hsiang
Numerical solution of Troesch's problem by simple shooting method.
(English)
[J] Appl. Math. Comput. 216, No. 11, 3303-3306 (2010). ISSN 0096-3003

Summary: This paper describes a simple and efficient approach to the Troesch's problem. In this approach, the hyperbolic nonlinear term in the equation is first converted into polynomial nonlinear terms by variable transformation, and a simple shooting method is then used directly to solve this transformed problem. The calculated results are in excellent agreement with those obtained by other analytical and numerical methods.
MSC 2000:
*65L10 Boundary value problems for ODE (numerical methods)

Keywords: Troesch's problem; shooting method; variable transformation

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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