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- W44108623 abstract "ABSTRACT The purpose of this work is to provide the reliable solution for the nonlinear Volterra-Fredholm Integrodifferential equation by using the modified decomposition method. Moreover, three particular examples are discussed to show the reliability and the performance of the modified decomposition method. Keywords : Nonlinear integral equation; Modified decomposition method; Integrodifferential equation. 1. INTRODUCTION In this work the equation under consideration is nonlinear Volterra-Fredholm Integrodifferential equation of the type ()() ()() ()() ''11 2 200 ,, n xbpn du xf xkxtutdt kxtutdtdx=+ + λ ∫∫ ⎡⎤ ⎡⎤⎣⎦ ⎣⎦λ (1) subject to the conditions uu u u (0) (0) (0) (0) 0= = =⋅⋅⋅= = (1) (2) ( ) n , where u ' represents the first order derivative of u with respect to t , p is any positive integer λ 1 and λ 2 , are constants and f (), (,) xkxt 1 and kxt 2 (,) are the functions having nth derivative on an interval axbt ≤≤, such that a and b are constants. Practically, many physical and biological models are represented by such class mixed Volterra-Fredholm differential equation (Wazwaz, 2002). To date, many researchers are engaged in solving such types of nonlinear Volterra-Fredholm integral equations. Recently numerical solution for nonlinear Volterra-Fredholm integral equation by collocation method is provided in Burnner, 1990. Maleknejad" @default.
- W44108623 created "2016-06-24" @default.
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- W44108623 date "2010-01-01" @default.
- W44108623 modified "2023-09-24" @default.
- W44108623 title "MODIFIED DECOMPOSITION METHOD FOR NONLINEAR VOLTERRA-FREDHOLM INTEGRODIFFERENTIAL EQUATION" @default.
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