Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8902583 | Applied Numerical Mathematics | 2018 | 28 Pages |
Abstract
In this work, a spectral method based on a modification of hat functions (MHFs) is proposed to solve the fractional pantograph differential equations. Some basic properties of fractional calculus and the operational matrices of MHFs are utilized to reduce the considered problem to a system of linear algebraic equations. The greatest advantage of using MHFs is the large number of zeros in their operational matrix of fractional integration, product operational matrix and also pantograph operational matrix. This property makes these functions computationally attractive. Some illustrative examples are included to show the high performance and applicability of the proposed method and a comparison is made with the existing results. These examples confirm that the method leads to the results of convergence order O(h3).
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Computational Mathematics
Authors
S. Nemati, P. Lima, S. Sedaghat,