APPROXIMATE SOLUTION OF FOURTH ORDER DIFFERENTIAL EQUATION IN NEUMANN PROBLEM

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RASHIDINIA J.; KALVAND D.; TEPOYAN L.

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Journal: Journal of Linear and Topological Algebra Year:2013 | Volume:2 | Issue:4 Page(s): 237-248

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Information Journal Paper

Title

APPROXIMATE SOLUTION OF FOURTH ORDER DIFFERENTIAL EQUATION IN NEUMANN PROBLEM

Author(s)

RASHIDINIA J. | KALVAND D. | TEPOYAN L. | Issue Writer Certificate

Keywords

FOURTH ORDER ORDINARY DIFFERENTIAL EQUATION

NEUMANN PROBLEM

GENERALIZED SOLUTION

QUINTIC SPLINE FUNCTION

ERROR ANALYSIS

Abstract

Generalized solution on NEUMANN PROBLEM of the FOURTH ORDER ORDINARY DIFFERENTIAL EQUATION in space W2a(0, b) has been discussed, we obtain the condition on B.V.P when the solution is in classical form. Formulation of QUINTIC SPLINE FUNCTION has been derived and the consistency relations are given. Numerical method, based on Quintic spline approximation has been developed. Spline solution of the given problem has been considered for a certain value of a: ERROR ANALYSIS of the spline method is given and it has been tested by an example.

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APA: Copy

RASHIDINIA, J., KALVAND, D., & TEPOYAN, L.. (2013). APPROXIMATE SOLUTION OF FOURTH ORDER DIFFERENTIAL EQUATION IN NEUMANN PROBLEM. JOURNAL OF LINEAR AND TOPOLOGICAL ALGEBRA, 2(4), 237-248. SID. https://sid.ir/paper/335586/en

Vancouver: Copy

RASHIDINIA J., KALVAND D., TEPOYAN L.. APPROXIMATE SOLUTION OF FOURTH ORDER DIFFERENTIAL EQUATION IN NEUMANN PROBLEM. JOURNAL OF LINEAR AND TOPOLOGICAL ALGEBRA[Internet]. 2013;2(4):237-248. Available from: https://sid.ir/paper/335586/en

IEEE: Copy

J. RASHIDINIA, D. KALVAND, and L. TEPOYAN, “APPROXIMATE SOLUTION OF FOURTH ORDER DIFFERENTIAL EQUATION IN NEUMANN PROBLEM,” JOURNAL OF LINEAR AND TOPOLOGICAL ALGEBRA, vol. 2, no. 4, pp. 237–248, 2013, [Online]. Available: https://sid.ir/paper/335586/en

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