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A Bessel collocation method for solving Bratu’s problem

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Abstract

In the present paper, we design a Bessel collocation method for solving one-dimensional nonlinear Bratu’s boundary value problem. Two numerical examples are provided to validate the efficiency and accuracy of the proposed method. Numerical results reveal that the present method yields very accurate approximation to the exact solution of Bratu’s problem. Moreover, the numerical results are compared with those obtained by two other existing methods, namely, optimal homotopy analysis method and the modified variational iteration method.

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Acknowledgements

The authors thankfully acknowledge the financial support provided by the CSIR, India in the form of Project No. 25(0286)/18/EMR-II. The authors are very grateful to anonymous referees for their valuable suggestions and comments which improved the paper.

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  1. Department of Mathematics, Visvesvaraya National Institute of Technology, Nagpur, 440010, India

    Pradip Roul & V. M. K. Prasad Goura

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  1. Pradip Roul
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  2. V. M. K. Prasad Goura
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Correspondence to Pradip Roul.

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Roul, P., Prasad Goura, V.M.K. A Bessel collocation method for solving Bratu’s problem. J Math Chem 58, 1601–1614 (2020). https://doi.org/10.1007/s10910-020-01147-w

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  • DOI: https://doi.org/10.1007/s10910-020-01147-w

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