Solving first-order ordinary differential equations by Modified Adomian decomposition method

Yahya Qaid Hasan

Abstract


In this paper, we use modified Adomian decomposition method to solve singular andnonsingular initial value problems of the first order ordinary differential equation. Theoreticalconsiderations have been discussed and the solutions are constructed in the form of a convergentseries. Some examples are presented to show the ability of the method for linear and non-linearproblems of the first- order ordinary di®erential.

Keywords


Adomian decomposition method; First-order ordinary differential equation; singular and nonsingular ordinary differential equations.

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