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Application of Semi-Analytical Iteration Techniques for the Numerical Solution of Linear and Nonlinear Differential Equations

: In this research article, we apply four semi-analytical iteration techniques namely: Differential Transform method, variational iteration method, Adomian decomposition method and Temimi and Ansari respectively to both linear and nonlinear differential equations of first, second and third orders. The results obtained reveal, the variational iteration gives a solution in series form which converges to the true solution followed by the Adomian decomposition method and Temimi and Ansari method .