Adomian Decomposition Method with Orthogonal Polynomials: Laguerre Polynomials and the Second Kind of Chebyshev Polynomials

In this paper, a new efficient and practical modification of the Adomian decomposition method is proposed with Laguerre polynomials second kind Chebyshev which has not been introduced in other articles to best our knowledge. This approach can be utilized approximately solve linear nonlinear differential equations. The formulations are examined by representative example numerical results confirm their efficiency accuracy.