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An Efficient Wavelet-Based Spectral Method to Singular Boundary Value Problems

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Wavelet Solutions for Reaction–Diffusion Problems in Science and Engineering

Part of the book series: Forum for Interdisciplinary Mathematics ((FFIM))

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Abstract

In this chapter, an efficient wavelet-based approximation method is established to nonlinear singular boundary value problems. To the best of our knowledge, until now there is no rigorous shifted second kind Chebyshev wavelet (S2KCWM) solution has been addressed for the nonlinear differential equations in population biology. With the help of shifted second kind Chebyshev wavelet operational matrices, the nonlinear differential equations are converted into a system of algebraic equations. The convergence of the proposed method is established. The power of the manageable method is confirmed. Finally, we have given some numerical examples to demonstrate the validity and applicability of the proposed wavelet method.

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Authors and Affiliations

  1. School of Arts Science and Humanities (SASH), SASTRA Deemed to be University, Thanjavur, Tamil Nadu, India

    Dr. G. Hariharan

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  1. Dr. G. Hariharan
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Correspondence to G. Hariharan .

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Hariharan, G. (2019). An Efficient Wavelet-Based Spectral Method to Singular Boundary Value Problems. In: Wavelet Solutions for Reaction–Diffusion Problems in Science and Engineering. Forum for Interdisciplinary Mathematics. Springer, Singapore. https://doi.org/10.1007/978-981-32-9960-3_5

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