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Exact Solution for Mixed Integral Equations by Method of Bernoulli Polynomials

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Mathematical Analysis II: Optimisation, Differential Equations and Graph Theory (ICRAPAM 2018)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 307))

Abstract

In this article, a new method has been developed for solving the mixed second kind Volterra–Fredholm integral equations numerically. A method is introduced in this paper is known as the Bernoulli matrix method. It is applied for solving mixed VFIE’s integral equations. The one property of this method is that it reduces the degree of the problem for solving a structure of algebraic equations. Our proposed method is introduced and it is applied to convert the integral equation into the algebraic equation using of Bernoulli matrix equation. Finally, there are some numerical results that have been given for illustrating the efficiency and exactness of this method.

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Author information

Authors and Affiliations

  1. Department of Applied Science, Rajkiya Engineering College, Sonbhadra, U.P., India

    Mithilesh Singh

  2. Department of Mathematics and Statistics, Gurukula Kangri Vishwavidyalaya, Haridwar, UK, India

    Nidhi Handa & Shivani Singhal

Authors
  1. Mithilesh Singh
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  2. Nidhi Handa
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  3. Shivani Singhal
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Corresponding author

Correspondence to Shivani Singhal .

Editor information

Editors and Affiliations

  1. Department of Applied Mathematics, Delhi Technological University, New Delhi, India

    Naokant Deo

  2. Department of Mathematics, Netaji Subhas University of Technology, New Delhi, India

    Vijay Gupta

  3. Department of Mathematics, Lucian Blaga University of Sibiu, Sibiu, Romania

    Ana Maria Acu

  4. Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, Uttarakhand, India

    P. N. Agrawal

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Singh, M., Handa, N., Singhal, S. (2020). Exact Solution for Mixed Integral Equations by Method of Bernoulli Polynomials. In: Deo, N., Gupta, V., Acu, A., Agrawal, P. (eds) Mathematical Analysis II: Optimisation, Differential Equations and Graph Theory. ICRAPAM 2018. Springer Proceedings in Mathematics & Statistics, vol 307. Springer, Singapore. https://doi.org/10.1007/978-981-15-1157-8_1

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