Adomian Modification Methods for the Solution of Chebyshev’s Differential Equations

The current study examines the important class of Chebyshev’s differential equations via application efficient Adomian Decomposition Method (ADM) and its modifications. We have proved effectiveness employed methods by acquiring exact analytical solutions for governing in most cases; while minimal noisy error terms been observed a particular method modification. Above all, presented approaches rightly affirmed exactitude available literature. More to point, this methodology could be extended examine various forms high-order equations, as approximate are rapidly attained with less computation stress.