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- Title
NUMERICAL SOLUTION OF PARTIAL INTEGRO-DIFFERENTIAL EQUATIONS WITH WEAKLY SINGULAR KERNELS.
- Authors
Aziz, Imran; Ain, Qurat Ul
- Abstract
In this paper, new numerical method based on Haar wavelet is proposed for the approximate solution of second and fourth order partial integro-differential equations with weakly singular kernels. The proposed method is based on collocation technique. The performance of the proposed method is tested by applying it to various benchmark problems from the literature. The numerical results establish the accuracy as well as efficiency of the proposed method.
- Subjects
NUMERICAL solutions to integro-differential equations; KERNEL (Mathematics); WAVELETS (Mathematics); MATHEMATICAL singularities; BOUNDARY value problems; ALGEBRAIC equations
- Publication
Advanced Mathematical Models & Applications, 2020, Vol 5, Issue 2, p149
- ISSN
2519-4445
- Publication type
Article