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Approximate Solution of Two-dimensional Fredholm Integral Equation of the First Kind Using Wavelet Base Method

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Abstract

A numerical direct method for solving two-dimensional linear and nonlinear Fredholm integral equations of the first kind based on Haar wavelet is introduced. The main characteristic of the method is that, unlike several other methods, it does not involve numerical integration, which leads to higher accuracy and quick computations as well. Further more an estimation of error bound for the present method is proved. Finally several test problems have been solved and compared with existing recent methods in order to demonstrate the effectiveness and applicability of the proposed technique.

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Authors and Affiliations

  1. Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran

    Fariba Fattahzadeh

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  1. Fariba Fattahzadeh
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Correspondence to Fariba Fattahzadeh.

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Fattahzadeh, F. Approximate Solution of Two-dimensional Fredholm Integral Equation of the First Kind Using Wavelet Base Method. Int. J. Appl. Comput. Math 5, 138 (2019). https://doi.org/10.1007/s40819-019-0717-9

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  • DOI: https://doi.org/10.1007/s40819-019-0717-9

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