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International Journal of Computer Mathematics Volume 84, 2007 - Issue 1
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Original Articles

A new numerical algorithm for the Abel equation of the second kind

Coskun Guler YTU, Department of Mathematical Engineering, Faculty of Chemistry and Metallurgy, Davutpasa Campus, Esenler, Istanbul, TurkeyCorrespondence[email protected]
Pages 109-119 | Received 20 Mar 2006, Accepted 03 Dec 2006, Published online: 29 Mar 2007

Citations (12)

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Read on this site (1)

Şuayip Yüzbaşı. (2017) A numerical scheme for solutions of a class of nonlinear differential equations. Journal of Taibah University for Science 11:6, pages 1165-1181.
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Articles from other publishers (11)

H. M. Ahmed. (2023) Numerical Solutions of High-Order Differential Equations with Polynomial Coefficients Using a Bernstein Polynomial Basis. Mediterranean Journal of Mathematics 20:6.
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Mohammad F.M. Naser, Mohammad Abdel Aal & Ghaleb Gumah. (2023) Stability analysis of Abel's equation of the first kind. AIMS Mathematics 8:12, pages 30574-30590.
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Musa ÇAKMAK & Sertan ALKAN. (2022) Fibonacci collocation method for solving a class of nonlinear differential equations. Turkish Journal of Mathematics and Computer Science.
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Şuayip Yüzbaşı & Gamze Yıldırım. (2022) A Pell-Lucas approximation to solve the Abel equation of the second kind. Ricerche di Matematica.
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Zaid Odibat, Vedat Suat Erturk, Pushpendra Kumar, Abdellatif Ben Makhlouf & V. Govindaraj. (2022) An Implementation of the Generalized Differential Transform Scheme for Simulating Impulsive Fractional Differential Equations. Mathematical Problems in Engineering 2022, pages 1-11.
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Ehsan Pourhadi & A. Yu. Khrennikov. (2018) On the Solutions of Cauchy Problem for Two Classes of Semi-Linear Pseudo-Differential Equations over p-Adic Field. p-Adic Numbers, Ultrametric Analysis and Applications 10:4, pages 322-343.
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C. Guler & S. O. Kaya. (2018) A Numerical Approach Based on Taylor Polynomials for Solving a Class of Nonlinear Differential Equations. Mathematical Problems in Engineering 2018, pages 1-9.
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Yalçın Öztürk & Mustafa Gülsu. (2017) Numerical solution of Abel equation using operational matrix method with Chebyshev polynomials. Asian-European Journal of Mathematics 10:03, pages 1750053.
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Saeid Abbasbandy. (2017) A new class of polynomial functions equipped with a parameter. Mathematical Sciences 11:2, pages 127-130.
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Berna Bülbül & Mehmet Sezer. (2015) A numerical approach for solving generalized Abel-type nonlinear differential equations. Applied Mathematics and Computation 262, pages 169-177.
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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.
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