Abstract:

In addition, work is being done to improve the numerical stability of wavelet-based approaches for stiff and ill-conditioned problems, the kinds of issues that often arise in practical settings. This study has the potential to influence many areas of science and technology, including signal processing, image analysis, fluid dynamics, quantum physics, and many more. This study adds to the development of computational tools capable of accurately and efficiently tackling difficult issues by enhancing numerical solutions for integral and differential equations using wavelet approach. In order to better handle the wide variety of integral and differential equations found in scientific and engineering fields, researchers are working to improve the capabilities of numerical solutions based on the wavelet approach. This effort aspires to pave the road for more precise and efficient simulations and analyses of complex systems by developing and implementing novel algorithms and improving computational approaches.

Description:

Numerical Solution, Differential Equations, Fractional Order, Haar Wavelet Method