Utilization of Haar wavelet collocation technique for fractal-fractional order problem
This work is devoted for establishing adequate results for the qualitative theory as well as approximate solution of “fractal-fractional order differential equations” (F-FDEs). For the required numerical results, we use Haar wavelet collocation (H-W-C) method which has very rarely utilized for F-FDE...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2023-06-01
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| Series: | Heliyon |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2405844023043311 |
| Summary: | This work is devoted for establishing adequate results for the qualitative theory as well as approximate solution of “fractal-fractional order differential equations” (F-FDEs). For the required numerical results, we use Haar wavelet collocation (H-W-C) method which has very rarely utilized for F-FDEs. We establish the general algorithm for F-FDEs to compute numerical solution for the considered class. Also, we establish a result devoted to the qualitative theory via Banach fixed point result. A results devoted to Ulam-Hyers (U-H) stability are also included. Two pertinent examples are given along with the comparison and different norms of errors displayed in figures as well as tables. |
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| ISSN: | 2405-8440 |