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Finite element approximation of a fourth order integro-differential equation

โœ Scribed by B. Semper


Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
265 KB
Volume
7
Category
Article
ISSN
0893-9659

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โœ J.Y. Shin ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 298 KB

A finite-element approximation of a fourth-order differential equation is given. In the direct implementation, a system of nonlinear equations will be obtained and also a full size matrix will be introduced when Newton's method is adopted to solve the system. This difficulty can be avoided by the us

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In this study, the homotopy perturbation method proposed by Ji-Huan He is applied to solve both linear and nonlinear boundary value problems for fourth-order integro-differential equations. The analysis is accompanied by numerical examples. The results show that the homotopy perturbation method is o