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• W2078652489 abstract "A new collocation method is developed for solving BVPs which arise from the problems in calculus of variation. These BVPs result from the Euler-Lagrange equations, which are the necessary conditions of the extremums of problems in calculus of variation. The proposed method is based upon the Bernoulli polynomials approximation together with their operational matrix of differentiation. After imposing the collocation nodes to the main BVPs, we reduce the variational problems to the solution of algebraic equations. It should be noted that the robustness of operational matrices of differentiation with respect to the integration ones is shown through illustrative examples. Complete comparisons with other methods and superior results confirm the validity and applicability of the presented method." @default.
• W2078652489 created "2016-06-24" @default.
• W2078652489 creator A5025569523 @default.
• W2078652489 creator A5051458444 @default.
• W2078652489 date "2013-01-01" @default.
• W2078652489 modified "2023-09-25" @default.
• W2078652489 title "A Collocation Method Based on the Bernoulli Operational Matrix for Solving Nonlinear BVPs Which Arise from the Problems in Calculus of Variation" @default.
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• W2078652489 doi "https://doi.org/10.1155/2013/757206" @default.
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