The modified decomposition method for solving nonlinear algebraic equations

Authors:
Salah M. El-Sayed
Affiliations:
Department of Mathematics, Faculty of Science, Benha University, Benha 13518, Egypt and Department of Mathematics, Scientific Departments, Education College for Girls, Al-Montazah, Buraydah, Al-Qa ...
Venue:
Applied Mathematics and Computation
Year:
2002

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Abstract

In this paper an algorithm based on Adomian's decomposition method is developed to approximate the solution of nonlinear algebraic equations. The conditions of the convergence which depend on the coefficients of the equation are found. The truncation error of the method is obtained. Special cases of the nonlinear algebraic equation are solved using the modified algorithm. The presented work shows that the modified approach gives improvements over existing techniques.