The general shifted Jacobi matrix method for solving generalized pantograph equations

DOI10.1007/s40314-013-0094-7zbMath1311.34032OpenAlexW2095711313MaRDI QIDQ2514085

Azim Aminataei, Z. Kalateh Bojdi, Salman Ahmadi-Asl

Publication date: 30 January 2015

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-013-0094-7

zbMATH Keywords

generalized pantograph equationsgeneral Jacobi matrix method

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Theoretical approximation of solutions to ordinary differential equations (34A45) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Linear ordinary differential equations and systems (34A30)

Cites Work

• Unnamed Item
• Unnamed Item
• Collocation method via Jacobi polynomials for solving nonlinear ordinary differential equations
• Application of Taylor series in obtaining the orthogonal operational matrix
• The general Jacobi matrix method for solving some nonlinear ordinary differential equations
• A Taylor method for numerical solution of generalized pantograph equations with linear functional argument
• Variational iteration method for solving a generalized pantograph equation
• The pantograph equation in the complex plane
• Properties of analytic solution and numerical solution of multi-pantograph equation
• The linear Legendre mother wavelets operational matrix of integration and its application
• Approximate solution of multi-pantograph equation with variable coefficients
• Spectral Methods for Time-Dependent Problems
• Analysis of a Model Representing Stage-Structured Population Growth with State-Dependent Time Delay
• The Adomian decomposition method for solving delay differential equation
• On the asymptotics of solutions of a class of linear functional-differential equations
• Stability of the Discretized Pantograph Differential Equation
• On a Functional Differential Equation
• Solution of nonlinear Volterra-Hammerstein integral equations via rationalized Haar functions