SOLVING THE NON-LINEAR SYSTEM OF THIRD-ORDER BOUNDARY VALUE PROBLEMS BY USING HE’S HOMOTOPY PERTURBATION METHOD

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EZZATI R.; AQHAMOHAMADI M.

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Journal Paper

Paper Information

Journal: INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS Year:2009 | Volume:1 | Issue:4 Page(s): 351-363

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Information Journal Paper

Title

SOLVING THE NON-LINEAR SYSTEM OF THIRD-ORDER BOUNDARY VALUE PROBLEMS BY USING HE’S HOMOTOPY PERTURBATION METHOD

Author(s)

EZZATI R. | AQHAMOHAMADI M. | Issue Writer Certificate

Keywords

NON-LINEAR THIRD-ORDER DIFFERENTIAL SYSTEM

HOMOTOPY PERTURBATION METHOD

NUMERICAL METHOD

Abstract

In this paper we introduce a HOMOTOPY PERTURBATION METHOD (HPM) to solve non-linear system of third-order boundary value problems. Using the HPM, it is possible to find the exact solution in some cases or an approximate solution in convergent series forms. This method is a powerful devise for solving a wide variety of problems, without any discretization, linearizetion or small perturbations. Some examples are presented, and obtained results ensure that this method is very effective, simple and has less the numerical computation.

Cites

AN IMPROVEMENT TO THE HOMOTOPY PERTURBATION METHOD FOR SOLVING INTEGRO-DIFFERENTIAL EQUATIONS

References

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APA: Copy

EZZATI, R., & AQHAMOHAMADI, M.. (2009). SOLVING THE NON-LINEAR SYSTEM OF THIRD-ORDER BOUNDARY VALUE PROBLEMS BY USING HE’S HOMOTOPY PERTURBATION METHOD. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, 1(4), 351-363. SID. https://sid.ir/paper/574289/en

Vancouver: Copy

EZZATI R., AQHAMOHAMADI M.. SOLVING THE NON-LINEAR SYSTEM OF THIRD-ORDER BOUNDARY VALUE PROBLEMS BY USING HE’S HOMOTOPY PERTURBATION METHOD. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS[Internet]. 2009;1(4):351-363. Available from: https://sid.ir/paper/574289/en

IEEE: Copy

R. EZZATI, and M. AQHAMOHAMADI, “SOLVING THE NON-LINEAR SYSTEM OF THIRD-ORDER BOUNDARY VALUE PROBLEMS BY USING HE’S HOMOTOPY PERTURBATION METHOD,” INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, vol. 1, no. 4, pp. 351–363, 2009, [Online]. Available: https://sid.ir/paper/574289/en

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