an:06198516
Zbl 1273.34082
Tohidi, E.; Bhrawy, A. H.; Erfani, K.
A collocation method based on Bernoulli operational matrix for numerical solution of generalized pantograph equation
EN
Appl. Math. Modelling 37, No. 6, 4283-4294 (2013).
00315507
2013
j
34K28 65L03
functional differential equations; pantograph equation; collocation method; direct method; operational matrix; Bernoulli polynomials
Summary: This paper presents a direct solution technique for solving the generalized pantograph equation with variable coefficients subject to initial conditions, using a collocation method based on Bernoulli operational matrix of derivatives. Only a small dimension of the Bernoulli operational matrix is needed to obtain a satisfactory result. Numerical results with comparisons are given to confirm the reliability of the proposed method for the generalized pantograph equation.