A matrix method based on the Fibonacci polynomials to the generalized pantograph equations with functional arguments

2014/04/03 by Koc, Ayse Betul, Cakmak, Musa, Kurnaz, Aydin
#65D25 #FOS: Mathematics #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.1404.1102

Abstract

In this study, a collocation method based on the Fibonacci operational matrix is proposed to solve generalized pantograph equations with linear functional arguments. Some illustrative examples are given to verify the efficiency and effectiveness of the proposed method.

Related

• An efficient numerical method for solving first order pantograph equations via shifted Muntz orthogonal functions
• Using Fibonacci Number to Integrate 2x2 and 3x3 Martices
• Analytical study of the pantograph equation using Jacobi theta functions
• Fibonacci polynomials, generalized Stirling numbers, and Bernoulli, Genocchi and tangent numbers
• Analytic continuation of solutions of the pantograph equation by means of θ-modular formula