A New Numerical Approach Using Chebyshev Third Kind Polynomial for Solving Integrodifferential Equations of Higher Order
Author:
Affiliation:
1. Modibbo Adama University Yola
2. American university of Nigeria
3. Al-Hikmah University, Ilorin, Nigeria
4. Federal College of Dental Technology and Therapy
Abstract
Publisher
Gazi University
Reference18 articles.
1. Adebisi, A. F., Ojurongbe, T. A., Okunlola, K. A., & Peter, O. J. (2021). Application of Chebyshev polynomial basis function on the solution of Volterra integro-differential equations using Galerkin method. Mathematics and Computational Sciences, 2(4), 41-51. doi:10.30511/mcs.2021.540133.1047
2. Akgonullu, N., Şahin, N., & Sezer, M. (2011). A Hermite Collocation Method For The Approximation Solutions of Higher-Order Linear Fredholm Integrodifferential equations. Numerical Methods for Partial Differential Equations, 27(6), 1707-1721. doi:10.1002/num.20604
3. Eslahchi, M. R., Mehdi, D., & Sanaz, A. (2012). The third and fourth kinds of Chebyshev polynomials and best uniform approximation. Mathematical and Computer Modelling, 55(5-6), 1746-1762. doi:10.1016/j.mcm.2011.11.023
4. Gulsu, M., Ozturk, Y., & Sezer, M. (2010). A New Collocation Method for Solution of Mixed Linear Integrodifferential equations. Applied Mathematics and Computation, 216(7), 2183-2198. doi:10.1016/j.amc.2010.03.054
5. Kurt, N., & Sezer, M. (2008). Polynomial solution of high-order linear Fredholm integro-differential equations with constant coefficients. Journal of the Franklin Institute, 345(8), 839-850. doi:10.1016/j.jfranklin.2008.04.016
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