A Novel Approach to Estimate Solution of Volterra Integral Equations

Authors

  • Mumtaz Ahmad Department of Mathematics, University of Sargodha
  • Bushra Tahir Lyallpur Campus Faisalabad, University of Sargodha

DOI:

https://doi.org/10.26713/cma.v9i3.799

Keywords:

Volterra integral equations, Chebyshev Polynomials, Numerical solution

Abstract

Approximating numerical solution of integral equations is considered to be very important as such equations have number of applications in various fields. In this paper we introduce novel approach to estimate numerical solutions of Volterra integral equations. In the proposed technique, Chebyshev polynomial is employed to approximate solution for an unknown function in the Volterra integral equation. It is observed that the proposed technique is highly suitable for such problems and have very encouraging results. We compare accuracy and efficiency of the method with existing techniques.

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References

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Published

25-09-2018
CITATION

How to Cite

Ahmad, M., & Tahir, B. (2018). A Novel Approach to Estimate Solution of Volterra Integral Equations. Communications in Mathematics and Applications, 9(3), 327–338. https://doi.org/10.26713/cma.v9i3.799

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Section

Research Article