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H. O. Bakodah, M. Al-Mazmumy & S. O. Almuhalbedi. (2019) Solving system of integro differential equations using discrete adomian decomposition method. Journal of Taibah University for Science 13:1, pages 805-812.
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Mengwu Guo & Hongzhi Zhong. (2016) Weak form quadrature solution of 2mth-order Fredholm integro-differential equations. International Journal of Computer Mathematics 93:10, pages 1650-1664.
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Gamze Yuksel, Osman Rasit Isik & Mehmet Sezer. (2015) Error analysis of the Chebyshev collocation method for linear second-order partial differential equations. International Journal of Computer Mathematics 92:10, pages 2121-2138.
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Ayşegül Akyüz-Daşcioğlu & Mehmet Sezer. (2007) A Taylor polynomial approach for solving high-order linear Fredholm integro-differential equations in the most general form. International Journal of Computer Mathematics 84:4, pages 527-539.
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Aysen Karamete & Mehmet Sezer. (2002) A Taylor Collocation Method for the Solution of Linear Integro-Differential Equations. International Journal of Computer Mathematics 79:9, pages 987-1000.
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Articles from other publishers (37)
Paola F. Antonietti, Lorenzo Liverani & Vittorino Pata. (2023) Lack of superstable trajectories in linear viscoelasticity: a numerical approach. Numerische Mathematik 153:4, pages 611-633.
Crossref
Crossref
Shaheed N. Huseen & Rawan A. Shlaka. Numerical solutions of Fredholm integral and integro-differential equations. Numerical solutions of Fredholm integral and integro-differential equations.
Şuayip Yüzbaşı & Gamze Yıldırım. (2022) A collocation method to solve the parabolic-type partial integro-differential equations via Pell–Lucas polynomials. Applied Mathematics and Computation 421, pages 126956.
Crossref
Crossref
J. Zhang, F. Z. Wang & E. R. Hou. (2020) The Conical Radial Basis Function for Partial Differential Equations. Journal of Mathematics 2020, pages 1-7.
Crossref
Crossref
Sinan Deniz & Mehmet Sezer. (2020) Rational Chebyshev collocation method for solving nonlinear heat transfer equations. International Communications in Heat and Mass Transfer 114, pages 104595.
Crossref
Crossref
Chandrali Baishya. (2019) A New Application of Hermite Collocation Method. International Journal of Mathematical, Engineering and Management Sciences 4:1, pages 182-190.
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Crossref
Yousef Jafarzadeh & Bagher Keramati. (2018) Numerical method for a system of integro-differential equations and convergence analysis by Taylor collocation. Ain Shams Engineering Journal 9:4, pages 1433-1438.
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Crossref
Melike Şahin & Mehmet Sezer. (2018) Pell-Lucas Collocation Method for Solving High-Order Functional Differential Equations with Hybrid Delays. Celal Bayar Üniversitesi Fen Bilimleri Dergisi 14:2, pages 141-149.
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Mustafa Özel, Mehmet Tarakçı & Mehmet Sezer. (2018) A numerical approach for a nonhomogeneous differential equation with variable delays. Mathematical Sciences 12:2, pages 145-155.
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Mohamed El-Gamel & Mona Sameeh. (2016) Numerical solution of singular two-point boundary value problems by the collocation method with the Chebyshev bases. SeMA Journal 74:4, pages 627-641.
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Olumuyiwa A. Agbolade & Timothy A. Anake. (2017) Solutions of First-Order Volterra Type Linear Integrodifferential Equations by Collocation Method. Journal of Applied Mathematics 2017, pages 1-5.
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Yousef Jafarzadeh & Bagher Keramati. (2016) Numerical method for a system of integro-differential equations by Lagrange interpolation. Asian-European Journal of Mathematics 09:04, pages 1650077.
Crossref
Crossref
M. Sameeh & A. Elsaid. (2016) Chebyshev Collocation Method for Parabolic Partial Integrodifferential Equations. Advances in Mathematical Physics 2016, pages 1-7.
Crossref
Crossref
Berna Bülbül & Mehmet Sezer. (2015) A numerical approach for solving generalized Abel-type nonlinear differential equations. Applied Mathematics and Computation 262, pages 169-177.
Crossref
Crossref
Claudio A. Gelmi & Héctor Jorquera. (2014) IDSOLVER: A general purpose solver for th-order integro-differential equations. Computer Physics Communications 185:1, pages 392-397.
Crossref
Crossref
M. Turkyilmazoglu. (2014) An effective approach for numerical solutions of high-order Fredholm integro-differential equations. Applied Mathematics and Computation 227, pages 384-398.
Crossref
Crossref
Ayşe Betül Koç & Aydın Kurnaz. (2013) A new kind of double Chebyshev polynomial approximation on unbounded domains. Boundary Value Problems 2013:1.
Crossref
Crossref
Ayşe Betül Koç, Musa Çakmak, Aydın Kurnaz & Kemal Uslu. (2013) A new Fibonacci type collocation procedure for boundary value problems. Advances in Difference Equations 2013:1.
Crossref
Crossref
Mehmet Sezer, Mustafa Gülsu & Bekir Tanay. (2011) Rational Chebyshev collocation method for solving higher-order linear ordinary differential equations. Numerical Methods for Partial Differential Equations 27:5, pages 1130-1142.
Crossref
Crossref
Osman Raşit Işik, Mehmet Sezer & Zekeriya Güney. (2011) A rational approximation based on Bernstein polynomials for high order initial and boundary values problems. Applied Mathematics and Computation 217:22, pages 9438-9450.
Crossref
Crossref
Ayşegül Akyüz-Daşcıoğlu & Handan Çerdi˙k-Yaslan. (2011) The solution of high-order nonlinear ordinary differential equations by Chebyshev Series. Applied Mathematics and Computation 217:12, pages 5658-5666.
Crossref
Crossref
Mustafa Gülsu, Yalçın Öztürk & Mehmet Sezer. (2011) On the solution of the Abel equation of the second kind by the shifted Chebyshev polynomials. Applied Mathematics and Computation 217:9, pages 4827-4833.
Crossref
Crossref
Mehmet Sezer, Bekir Tanay & Mustafa Gülsu. (2010) Numerical solution of a class of complex differential equations by the Taylor collocation method in elliptic domains. Numerical Methods for Partial Differential Equations 26:5, pages 1191-1205.
Crossref
Crossref
Mehmet Sezer & Salih Yalçinbaş. (2009) A collocation method to solve higher order linear complex differential equations in rectangular domains. Numerical Methods for Partial Differential Equations 26:3, pages 596-611.
Crossref
Crossref
Mehmet Sezer & Mustafa Gülsu. (2007) Polynomial solution of the most general linear Fredholm–Volterra integrodifferential-difference equations by means of Taylor collocation method. Applied Mathematics and Computation 185:1, pages 646-657.
Crossref
Crossref
Mehmet Sezer, Mustafa Gülsu & Bekir Tanay. (2006) A Taylor collocation method for the numerical solution of complex differential equations with mixed conditions in elliptic domains. Applied Mathematics and Computation 182:1, pages 498-508.
Crossref
Crossref
Ayşegül Akyüz-Daşcıogˇlu. (2006) A Chebyshev polynomial approach for linear Fredholm–Volterra integro-differential equations in the most general form. Applied Mathematics and Computation 181:1, pages 103-112.
Crossref
Crossref
Mehmet Sezer & Mustafa Gülsu. (2006) Approximate solution of complex differential equations for a rectangular domain with Taylor collocation method. Applied Mathematics and Computation 177:2, pages 844-851.
Crossref
Crossref
Salih Yalçinbaş & Mehmet Sezer. (2006) A Taylor collocation method for the approximate solution of general linear Fredholm–Volterra integro-difference equations with mixed argument. Applied Mathematics and Computation 175:1, pages 675-690.
Crossref
Crossref
Mehmet Sezer & Ayşegül Akyüz-Daşcıoğlu. (2006) Taylor polynomial solutions of general linear differential–difference equations with variable coefficients. Applied Mathematics and Computation 174:2, pages 1526-1538.
Crossref
Crossref
A. Akyüz-Daşcıoğlu & H. Çerdik Yaslan. (2006) An approximation method for the solution of nonlinear integral equations. Applied Mathematics and Computation 174:1, pages 619-629.
Crossref
Crossref
Mustafa Gülsu, Mehmet Sezer & Zekeriya Güney. (2006) Approximate solution of general high-order linear nonhomogeneous difference equations by means of Taylor collocation method. Applied Mathematics and Computation 173:2, pages 683-693.
Crossref
Crossref
Ayşegül Akyüz-Daşcıoğlu & Mehmet Sezer. (2005) Chebyshev polynomial solutions of systems of higher-order linear Fredholm–Volterra integro-differential equations. Journal of the Franklin Institute 342:6, pages 688-701.
Crossref
Crossref
M. Hadizadeh & M. Asgary. (2005) An efficient numerical approximation for the linear class of mixed integral equations. Applied Mathematics and Computation 167:2, pages 1090-1100.
Crossref
Crossref
B. Sepehrian & M. Razzaghi. (2004) Single-term Walsh series method for the Volterra integro-differential equations. Engineering Analysis with Boundary Elements 28:11, pages 1315-1319.
Crossref
Crossref
Ayşegül Akyüz-Daşcıoǧlu. (2004) Chebyshev polynomial solutions of systems of linear integral equations. Applied Mathematics and Computation 151:1, pages 221-232.
Crossref
Crossref
Ayşegül Akyüz & Mehmet Sezer. (2003) Chebyshev polynomial solutions of systems of high-order linear differential equations with variable coefficients. Applied Mathematics and Computation 144:2-3, pages 237-247.
Crossref
Crossref