Abstract
This research is dedicated to the analysis and construction of an efficient method based on the Pseudospectral method for the second type of Abel's integral equation using Hermite cubic spline scaling bases (HCSSb). After expressing the Abel operator based on the HCSSb, the equation will be reduced to a system of linear or nonlinear algebraic equations. To solve this system, we apply Newton's method and the generalized minimal residual (GMRES) method for the nonlinear and linear types, respectively. The results demonstrate that the speed of convergence for this method is O(2−J) where J∈N0. One of the advantages of the method is that it is not too complicated in form, and it can be used to solve a variety of problems. Furthermore, the method is computationally desirable and gives very accurate results.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
