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01-Applied Mathematics & Information Sciences
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 
 
 

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Volumes > Volume 10 > No. 4

 
   

Solution of Higher-Order, Multipoint, Nonlinear Boundary Value Problems with High-Order Robin-Type Boundary Conditions by the Adomian Decomposition Method

PP: 1231-1242
doi:10.18576/amis/100403
Author(s)
Randolph Rach, Jun-Sheng Duan, Abdul-Majid Wazwaz,
Abstract
In this paper, we propose a new modified recursion scheme for the approximate solution of higher-order, multipoint, nonlinear boundary value problems with higher-order Robin-type boundary conditions by the Adomian decomposition method. Our new approach utilizes all of the boundary conditions to derive an equivalent nonlinear Fredholm-Volterra integral equation before establishing the new modified recursion scheme for the solution. We solve several complex numerical examples obtaining a rapidly convergent sequence of analytic functions as the solution. In all cases investigated, we achieved an approximately exponential rate of convergence, thus confirming that only a few terms of the Adomian decomposition series can provide an accurate engineering model for parametric simulations.

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