Numerical comparison of methods for solving second-order ordinary initial value problems
In this paper, we apply Adomian decomposition method (shortly, ADM) to develop a fast and accurate algorithm of a special second-order ordinary initial value problems. The ADM does not require discretization and consequently of massive computations. This paper is particularly concerned with the ADM...
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| Vydáno v: | Applied mathematical modelling Ročník 31; číslo 2; s. 292 - 301 |
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| Médium: | Journal Article |
| Jazyk: | angličtina |
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Elsevier Inc
01.02.2007
Elsevier Science |
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| ISSN: | 0307-904X |
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| Abstract | In this paper, we apply Adomian decomposition method (shortly, ADM) to develop a fast and accurate algorithm of a special second-order ordinary initial value problems. The ADM does not require discretization and consequently of massive computations. This paper is particularly concerned with the ADM and the results obtained are compared with previously known results using the Quintic
C
2-spline integration methods. The numerical results demonstrate that the ADM is relatively accurate and easily implemented. |
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| AbstractList | In this paper, we apply Adomian decomposition method (shortly, ADM) to develop a fast and accurate algorithm of a special second-order ordinary initial value problems. The ADM does not require discretization and consequently of massive computations. This paper is particularly concerned with the ADM and the results obtained are compared with previously known results using the Quintic
C
2-spline integration methods. The numerical results demonstrate that the ADM is relatively accurate and easily implemented. In this paper, we apply Adomian decomposition method (shortly, ADM) to develop a fast and accurate algorithm of a special second-order ordinary initial value problems. The ADM does not require discretization and consequently of massive computations. This paper is particularly concerned with the ADM and the results obtained are compared with previously known results using the Quintic C2-spline integration methods. The numerical results demonstrate that the ADM is relatively accurate and easily implemented. |
| Author | Al-Khaled, Kamel Anwar, M. Naim |
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| Cites_doi | 10.1016/S0377-0427(99)00174-0 10.1108/eb005812 10.1016/S0096-3003(99)00063-6 10.1006/jsvi.1996.0445 10.1016/S0898-1221(01)00321-2 10.1016/S0377-0427(03)00473-4 10.1007/BF01933194 10.1016/0895-7177(93)90233-O 10.1016/S0096-3003(01)00021-2 10.1016/0022-247X(88)90170-9 10.1080/00207160211928 10.1016/0898-1221(95)00008-M |
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| Keywords | Quintic spline Adomian decomposition method Approximate solutions Second-order initial value problem Adomian polynomial Modelling Initial value problems Fast algorithm Spline approximation |
| Language | English |
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| SubjectTerms | Adomian decomposition method Approximate solutions Exact sciences and technology Mathematical methods in physics Numerical approximation and analysis Ordinary and partial differential equations, boundary value problems Physics Quintic spline Second-order initial value problem |
| Title | Numerical comparison of methods for solving second-order ordinary initial value problems |
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