VARIATIONAL ITERATION METHOD FOR SOLVING TENTH-ORDER BOUNDARY VALUE PROBLEMS

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GENG FAZHAN; LI XIUYING

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Journal: MATHEMATICAL SCIENCES Year:2009 | Volume:3 | Issue:2 Page(s): 161-172

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Title

VARIATIONAL ITERATION METHOD FOR SOLVING TENTH-ORDER BOUNDARY VALUE PROBLEMS

Author(s)

GENG FAZHAN | LI XIUYING | Issue Writer Certificate

Keywords

TENTH-ORDER BOUNDARY VALUE PROBLEMS

VARIATIONAL ITERATION METHOD

Abstract

In this paper, the tenth-order linear special case boundary value problems are solved using the VARIATIONAL ITERATION METHOD. The algorithm approximates the solutions, and their higher-order derivatives, of differential equations and it avoids the complexity provided by other numerical approaches. Three examples compared with those considered by Siddiqi, Twizell and Akram [S.S. Siddiqi, E.H. Twizell, Spline solutions of linear tenth order boundary value problems, Int. J. Comput. Math. 68 (1998) 345-362; S.S.Siddiqi, G.Akram, Solutions of TENTH-ORDER BOUNDARY VALUE PROBLEMS using eleventh degree spline Applied Mathematics and Computation 185 (1)(2007) 115-127] show that the method is simple and valid.

Cites

A SIXTH-ORDER COMPACT FINITE DIFFERENCE METHOD FOR FREE VIBRATION ANALYSIS OF EULER-BERNOULLI BEAMS

References

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APA: Copy

GENG, FAZHAN, & LI, XIUYING. (2009). VARIATIONAL ITERATION METHOD FOR SOLVING TENTH-ORDER BOUNDARY VALUE PROBLEMS. MATHEMATICAL SCIENCES, 3(2), 161-172. SID. https://sid.ir/paper/322495/en

Vancouver: Copy

GENG FAZHAN, LI XIUYING. VARIATIONAL ITERATION METHOD FOR SOLVING TENTH-ORDER BOUNDARY VALUE PROBLEMS. MATHEMATICAL SCIENCES[Internet]. 2009;3(2):161-172. Available from: https://sid.ir/paper/322495/en

IEEE: Copy

FAZHAN GENG, and XIUYING LI, “VARIATIONAL ITERATION METHOD FOR SOLVING TENTH-ORDER BOUNDARY VALUE PROBLEMS,” MATHEMATICAL SCIENCES, vol. 3, no. 2, pp. 161–172, 2009, [Online]. Available: https://sid.ir/paper/322495/en

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