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A reliable algorithm to compute the approximate solution of KdV-type partial differential equations of order seven
Sidra Saleem1, Malik Zawwar Hussain1, Imran Aziz2
1Department of Mathematics, University of the Punjab, Lahore, Pakistan.
Abstract:
The approximate solution of KdV-type partial differential equations of order seven is presented. The algorithm based on one-dimensional Haar wavelet collocation method is adapted for this purpose. One-dimensional Haar wavelet collocation method is verified on Lax equation, Sawada-Kotera-Ito equation and Kaup-Kuperschmidt equation of order seven. The approximated results are displayed by means of tables (consisting point wise errors and maximum absolute errors) to measure the accuracy and proficiency of the scheme in a few number of grid points. Moreover, the approximate solutions and exact solutions are compared graphically, that represent a close match between the two solutions and confirm the adequate behavior of the proposed method.
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