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Niu, Jing; Lin, Yingzhen; Cui, Minggen

Approximate solutions to three-point boundary value problems with two-space integral condition for parabolic equations. (English) Zbl 1247.65137

Abstr. Appl. Anal. 2012, Article ID 414612, 9 p. (2012).
Summary: We construct a novel reproducing kernel space and give the expression of reproducing kernel skillfully. Based on the orthogonal basis of the reproducing kernel space, an efficient algorithm is provided firstly to solve a three-point boundary value problem of parabolic equations with two-space integral condition. The exact solution of this problem can be expressed by the series form. The numerical method is supported by strong theories. The numerical experiment shows that the algorithm is simple and easy to implement by the common computer and software.

Cited in 8 Documents

MSC:

65M99 Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems
35K20 Initial-boundary value problems for second-order parabolic equations
35C10 Series solutions to PDEs

Keywords:

reproducing kernel space; numerical experiment; algorithm; three-point boundary value problem; parabolic equation
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References:

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