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CAS Wavelet Picard Technique for Burger’s–Huxley and Burgers Equation

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Abstract

In this paper, solutions of generalized Burger’s–Huxley equation and Burgers equation are proposed through a numerical method. The method is developed by using CAS wavelet in conjunction with Picard technique. Operational matrices for CAS wavelet are derived and constructed. The implementation procedure is provided. Error analysis and convergence of present method is also presented. The results of the CAS wavelet Picard method are compared with results from some well known methods which support the accuracy, efficiency and validity of the CAS wavelet Picard scheme.

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Authors and Affiliations

  1. School of Natural Sciences, National University of Sciences and Technology (NUST), Sector H-12, Islamabad, Pakistan

    Khadija Gilani

  2. NUST Institute of Civil Engineering, National University of Sciences and Technology (NUST), Sector H-12, Islamabad, Pakistan

    Umer Saeed

Authors
  1. Khadija Gilani
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  2. Umer Saeed
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Correspondence to Khadija Gilani.

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Gilani, K., Saeed, U. CAS Wavelet Picard Technique for Burger’s–Huxley and Burgers Equation. Int. J. Appl. Comput. Math 4, 133 (2018). https://doi.org/10.1007/s40819-018-0565-z

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  • DOI: https://doi.org/10.1007/s40819-018-0565-z

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