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International Journal of Computer Mathematics Volume 83, 2006 - Issue 4
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Original Articles

Taylor collocation method for solution of systems of high-order linear Fredholm–Volterra integro-differential equations

Mustafa Gülsu Department of Mathematics, Faculty of Science, Mugla University, Mugla, TurkeyCorrespondence[email protected]
&
Mehmet Sezer Department of Mathematics, Faculty of Science, Mugla University, Mugla, Turkey
Pages 429-448 | Received 17 Oct 2005, Accepted 16 Aug 2006, Published online: 25 Jan 2007

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Hafida Laib, Azzeddine Bellour & Aissa Boulmerka. (2022) Taylor collocation method for a system of nonlinear Volterra delay integro-differential equations with application to COVID-19 epidemic. International Journal of Computer Mathematics 99:4, pages 852-876.
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Y. Huang, M. Fang & X.-F. Li. (2009) Approximate solution of a system of linear integral equations by the Taylor expansion method. International Journal of Computer Mathematics 86:5, pages 924-937.
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Articles from other publishers (27)

Hongli Sun & Yanfei Lu. (2024) A novel approach for solving linear Fredholm integro-differential equations via LS-SVM algorithm. Applied Mathematics and Computation 470, pages 128557.
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Rohul Amin, Ali Ahmadian, Nasser Aedh Alreshidi, Liping Gao & Mehdi Salimi. (2021) Existence and computational results to Volterra–Fredholm integro-differential equations involving delay term. Computational and Applied Mathematics 40:8.
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Yalçın Öztürk & Atılım Ilker Demir. (2021) A spectral collocation matrix method for solving linear Fredholm integro-differential–difference equations. Computational and Applied Mathematics 40:6.
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Özgül İLHAN. (2021) AN IMPROVED APPROACH FOR SOLUTIONS OF SYSTEMS OF LINEAR FREDHOLM INTEGRO DIFFERENTIAL EQUATIONS. Mugla Journal of Science and Technology 7:1, pages 83-92.
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Yalçın Öztürk & Mustafa Gülsu. (2021) An operational matrix method to solve linear Fredholm–Volterra integro-differential equations with piecewise intervals. Mathematical Sciences 15:2, pages 189-197.
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斌斌 王. (2021) An Improved Collocation Method for the Second Kind of Nonlinear Volterra Integral Equation Based on Bessel Polynomials. Advances in Applied Mathematics 10:05, pages 1496-1507.
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H. Bin Jebreen. (2020) On the Multiwavelets Galerkin Solution of the Volterra–Fredholm Integral Equations by an Efficient Algorithm. Journal of Mathematics 2020, pages 1-10.
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Neda Negarchi & Kazem Nouri. (2018) Numerical solution of Volterra–Fredholm integral equations using the collocation method based on a special form of the Müntz–Legendre polynomials. Journal of Computational and Applied Mathematics 344, pages 15-24.
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Zaffer Elahi, Ghazala Akram & Shahid S. Siddiqi. (2018) Laguerre approach for solving system of linear Fredholm integro-differential equations. Mathematical Sciences 12:3, pages 185-195.
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S. Kheybari, M.T. Darvishi & A.M. Wazwaz. (2017) A semi-analytical algorithm to solve systems of integro-differential equations under mixed boundary conditions. Journal of Computational and Applied Mathematics 317, pages 72-89.
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Elcin Gokmen, Gamze Yuksel & Mehmet Sezer. (2017) A numerical approach for solving Volterra type functional integral equations with variable bounds and mixed delays. Journal of Computational and Applied Mathematics 311, pages 354-363.
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Faisal M. Mukhtar. (2016) Generalized Taylor polynomials for axisymmetric plates and shells. Applied Mathematics and Computation 276, pages 182-199.
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Farshid Mirzaee & Saeed Bimesl. (2015) Numerical solutions of systems of high-order Fredholm integro-differential equations using Euler polynomials. Applied Mathematical Modelling 39:22, pages 6767-6779.
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M. Dadkhah Tirani, F. Sohrabi, H. Almasieh & M. Tavassoli Kajani. Numerical solution of differential-difference equations in large intervals using a Taylor collocation method. Numerical solution of differential-difference equations in large intervals using a Taylor collocation method.
Şuayip Yüzbaşı. (2015) Numerical solutions of system of linear Fredholm–Volterra integro-differential equations by the Bessel collocation method and error estimation. Applied Mathematics and Computation 250, pages 320-338.
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Farshid Mirzaee & Saeed Bimesl. (2014) A new Euler matrix method for solving systems of linear Volterra integral equations with variable coefficients. Journal of the Egyptian Mathematical Society 22:2, pages 238-248.
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Hammad Khalil & Rahmat Ali Khan. (2014) New Operational Matrix of Integrations and Coupled System of Fredholm Integral Equations. Chinese Journal of Mathematics 2014, pages 1-6.
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Şuayip Yüzbaşı & Nurbol Ismailov. (2014) Solving Systems of Volterra Integral and Integrodifferential Equations with Proportional Delays by Differential Transformation Method. Journal of Mathematics 2014, pages 1-5.
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Keyan Wang & Qisheng Wang. (2013) Lagrange collocation method for solving Volterra–Fredholm integral equations. Applied Mathematics and Computation 219:21, pages 10434-10440.
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Elçin Gökmen & Mehmet Sezer. (2013) Taylor collocation method for systems of high-order linear differential–difference equations with variable coefficients. Ain Shams Engineering Journal 4:1, pages 117-125.
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Şuayip Yüzbaşı. (2013) A numerical approximation for Volterra’s population growth model with fractional order. Applied Mathematical Modelling 37:5, pages 3216-3227.
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Şuayip Yüzbaşı, Mehmet Sezer & Bayram Kemancı. (2013) Numerical solutions of integro-differential equations and application of a population model with an improved Legendre method. Applied Mathematical Modelling 37:4, pages 2086-2101.
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Farshid Mirzaee & Saeed Bimesl. (2013) A new approach to numerical solution of second-order linear hyperbolic partial differential equations arising from physics and engineering. Results in Physics 3, pages 241-247.
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A.H. Bhrawy, E. Tohidi & F. Soleymani. (2012) A new Bernoulli matrix method for solving high-order linear and nonlinear Fredholm integro-differential equations with piecewise intervals. Applied Mathematics and Computation 219:2, pages 482-497.
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Şuayip Yüzbaşı, Niyazi Şahin & Mehmet Sezer. (2012) A collocation approach to solving the model of pollution for a system of lakes. Mathematical and Computer Modelling 55:3-4, pages 330-341.
Crossref
Niyazi Şahı̇n, Şuayip Yüzbaşı & Mustafa Gülsu. (2011) A collocation approach for solving systems of linear Volterra integral equations with variable coefficients. Computers & Mathematics with Applications 62:2, pages 755-769.
Crossref
Şuayip Yüzbaşı, Niyazi Şahin & Mehmet Sezer. (2011) Numerical solutions of systems of linear Fredholm integro-differential equations with Bessel polynomial bases. Computers & Mathematics with Applications 61:10, pages 3079-3096.
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