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- W2189578359 abstract "Abstract: In this paper, we have applied the variational iteration method for finding the approximate solution of a system of fourth-order linear boundary value problem. Several examples are given to illustrate the efficiency and implementation of this technique. The results demonstrate reliability and efficiency of this technique. Key words: Variational iteration method • obs tacle problem • fourth -order boundary value problem INTRODUCTION In this paper, we consider the following system of fourth-order linear boundary value problem of the type: (4) f(x)u(x)g(x)r,axcu(x)f(x),cxdf(x)u(x)g(x)r,dxb ++≤<= ≤< ++≤≤ (1) with the boundary conditions u(a ) =u(b B,u 01 ′(a ==u′′ (b)B (2) and the continuity conditions of u(x), u′(x), u″(x) and u′″ (x) at c and d . Hereβ 0 and β 1 are finite real constants and the functions ƒ(x), g(x) are continuous functions on [a,b]. Systems of the type (1) arise in the mathematical modeling of contact, obstacle, unilateral, moving and free boundary value problems and have important applications in pure and applied sciences [2-6, 7, 8, 13-16, 18-22, 24]. Al-Said and Noor [2-4], Al-said" @default.
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- W2189578359 date "2011-01-01" @default.
- W2189578359 modified "2023-09-24" @default.
- W2189578359 title "Solving System of Fourth-order Boundary Value Problems by Variational Iteration Method" @default.
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