A numerical algorithm for solving a class of linear nonlocal boundary value problems (Q988709)
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scientific article; zbMATH DE number 5772526
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A numerical algorithm for solving a class of linear nonlocal boundary value problems |
scientific article; zbMATH DE number 5772526 |
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A numerical algorithm for solving a class of linear nonlocal boundary value problems (English)
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18 August 2010
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This paper is aimed at constructing a multipoint reproducing kernel space and giving a simple numerical algorithm to solve the nonlocal boundary value problem: \[ u^{(n)}(x)+ \sum^{n-1}_{i=0} a_i(x) u^{(i)}(x)= f(x),\;u^{(i-1)}(x_j)= b_{ij},\;u(x_{k+1})- u(x_{k+2})= b_n. \] One numerical example is presented.
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nonlocal boundary value problems
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higher order differential equations
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new reproducing kernel space
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numerical algorithm
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