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Dr. Mourad Samir abdallah Mohmmed Semary :: Publications: |
Title: | A novel stochastic ten non-polynomial cubic splines method for heat equations with noise term |
Authors: | Aisha F Fareed, Ahmed G Khattab, Mourad S Semary |
Year: | 2024 |
Keywords: | Not Available |
Journal: | Partial Differential Equations in Applied Mathematics |
Volume: | Not Available |
Issue: | Not Available |
Pages: | Not Available |
Publisher: | Not Available |
Local/International: | International |
Paper Link: | Not Available |
Full paper | Not Available |
Supplementary materials | Not Available |
Abstract: |
In this paper, a new numerical method for solving a class of stochastic partial differential equations is presented. The proposed method is based on a non-polynomial cubic spline algorithm with an O(h4) local truncation error. The new approach has the advantage of simultaneously including ten non-polynomial cubic spline schemes. The proposed approach is also tested on three stochastic heat equations. The current results are compared to solutions obtained using the B-spline wavelet approximation method. The provided solutions demonstrate the proposed method's accuracy and applicability. |