Application of hybrid cubic B-spline collocation approach for solving a generalized nonlinear Klein-Gordon equation (Q1717682)
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scientific article; zbMATH DE number 7015725
| Language | Label | Description | Also known as |
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| English | Application of hybrid cubic B-spline collocation approach for solving a generalized nonlinear Klein-Gordon equation |
scientific article; zbMATH DE number 7015725 |
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Application of hybrid cubic B-spline collocation approach for solving a generalized nonlinear Klein-Gordon equation (English)
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8 February 2019
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Summary: The generalized nonlinear Klien-Gordon equation is important in quantum mechanics and related fields. In this paper, a semi-implicit approach based on hybrid cubic B-spline is presented for the approximate solution of the nonlinear Klien-Gordon equation. The usual finite difference approach is used to discretize the time derivative while hybrid cubic B-spline is applied as an interpolating function in the space dimension. The results of applications to several test problems indicate good agreement with known solutions.
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