Analytical approximations and Padé approximants for Volterra's population model
Applied Mathematics and Computation
The modified decomposition method applied to unsteady flow of gas through a porous medium
Applied Mathematics and Computation
Arbitrary order numerical method for solving differential-algebraic equation by Padé series
Applied Mathematics and Computation
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The aim of this paper is to present an efficient numerical procedure for solving boundary value problems for a differential equation with retarded argument: x''(t) + a(t)x(t - τ(t)) = f(t) x(t) = φ(t) (λ0 ≤ t ≤ 0), x(T) = xT, where 0 ≤ t ≤ T and a(t),f(t), τ(t) ≥ 0 (0 ≤ t ≤ T) and φ(t) (λ0 ≤ t ≤ 0) are known continuous functions. A differential equation with retarded argument is computed by converting the obtained series solution into Padé (approximants) series. First we calculate power series of the given equation system then transform it into Padé (approximants) series form, which give an arbitrary order for solving differential equation numerically.