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Error Analysis and Numerical Simulation of Fractional KdV Burger's Differential Equations via 3-scale Haar wavelets
  • Shitesh Shukla,
  • MUKESH KUMAR
Shitesh Shukla
Motilal Nehru National Institute of Technology

Corresponding Author:[email protected]

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MUKESH KUMAR
Motilal Nehru National Institute of Technology
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Abstract

This article proposes a modified numerical algorithm based on a finite-difference scheme and the 3-Scale Haar approach for numerical simulation of the fractional KdV-Burgers differential equation. The multi-resolution utilize to develop the wavelet basis functions. The convergence of the proposed algorithm convinces its error analysis. The Haar solution shows decent concurrence with the analytical solutions and other existing techniques present in the literature. The Haar solutions reveal that the proposed procedure is profoundly viable and helpful for the fractional partial differential equation.