Application of Hybrid Cubic B-Spline Collocation Approach for Solving a Generalized Nonlinear Klien-Gordon Equation
The generalized nonlinear Klien-Gordon equation is important in quantum mechanics and related fields. In this paper, a semiimplicit approach based on hybrid cubic B-spline is presented for the approximate solution of the nonlinearKlien-Gordon equation. Theusual finite difference approach is used to...
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| Format: | Article |
| Language: | English |
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Hindawi Publishing Corporation
2014
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| Online Access: | http://eprints.usm.my/38353/ http://eprints.usm.my/38353/1/Application_of_Hybrid_Cubic_B-Spline_Collocation_Approach_for_Solving_a_Generalized_Nonlinear.pdf |
| _version_ | 1848878444759220224 |
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| author | Zin, Shazalina Mat Majid, Ahmad Abd Ismail, Ahmad Izani Md. Abbas, Muhammad |
| author_facet | Zin, Shazalina Mat Majid, Ahmad Abd Ismail, Ahmad Izani Md. Abbas, Muhammad |
| author_sort | Zin, Shazalina Mat |
| building | USM Institutional Repository |
| collection | Online Access |
| description | The generalized nonlinear Klien-Gordon equation is important in quantum mechanics and related fields. In this paper, a semiimplicit approach based on hybrid cubic B-spline is presented for the approximate solution of the nonlinearKlien-Gordon equation. Theusual finite difference approach is used to discretize the time derivativewhile 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. |
| first_indexed | 2025-11-15T17:31:26Z |
| format | Article |
| id | usm-38353 |
| institution | Universiti Sains Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T17:31:26Z |
| publishDate | 2014 |
| publisher | Hindawi Publishing Corporation |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | usm-383532018-08-17T03:05:58Z http://eprints.usm.my/38353/ Application of Hybrid Cubic B-Spline Collocation Approach for Solving a Generalized Nonlinear Klien-Gordon Equation Zin, Shazalina Mat Majid, Ahmad Abd Ismail, Ahmad Izani Md. Abbas, Muhammad QA1-939 Mathematics The generalized nonlinear Klien-Gordon equation is important in quantum mechanics and related fields. In this paper, a semiimplicit approach based on hybrid cubic B-spline is presented for the approximate solution of the nonlinearKlien-Gordon equation. Theusual finite difference approach is used to discretize the time derivativewhile 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. Hindawi Publishing Corporation 2014 Article PeerReviewed application/pdf en http://eprints.usm.my/38353/1/Application_of_Hybrid_Cubic_B-Spline_Collocation_Approach_for_Solving_a_Generalized_Nonlinear.pdf Zin, Shazalina Mat and Majid, Ahmad Abd and Ismail, Ahmad Izani Md. and Abbas, Muhammad (2014) Application of Hybrid Cubic B-Spline Collocation Approach for Solving a Generalized Nonlinear Klien-Gordon Equation. Mathematical Problems in Engineering, 2014 (108560). pp. 1-10. ISSN 1024-123X http://dx.doi.org/10.1155/2014/108560 |
| spellingShingle | QA1-939 Mathematics Zin, Shazalina Mat Majid, Ahmad Abd Ismail, Ahmad Izani Md. Abbas, Muhammad Application of Hybrid Cubic B-Spline Collocation Approach for Solving a Generalized Nonlinear Klien-Gordon Equation |
| title | Application of Hybrid Cubic B-Spline Collocation Approach for Solving a Generalized Nonlinear Klien-Gordon Equation
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| title_full | Application of Hybrid Cubic B-Spline Collocation Approach for Solving a Generalized Nonlinear Klien-Gordon Equation
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| title_fullStr | Application of Hybrid Cubic B-Spline Collocation Approach for Solving a Generalized Nonlinear Klien-Gordon Equation
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| title_full_unstemmed | Application of Hybrid Cubic B-Spline Collocation Approach for Solving a Generalized Nonlinear Klien-Gordon Equation
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| title_short | Application of Hybrid Cubic B-Spline Collocation Approach for Solving a Generalized Nonlinear Klien-Gordon Equation
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| title_sort | application of hybrid cubic b-spline collocation approach for solving a generalized nonlinear klien-gordon equation |
| topic | QA1-939 Mathematics |
| url | http://eprints.usm.my/38353/ http://eprints.usm.my/38353/ http://eprints.usm.my/38353/1/Application_of_Hybrid_Cubic_B-Spline_Collocation_Approach_for_Solving_a_Generalized_Nonlinear.pdf |