Approximate Solutions of Nonlinear Integral Equations Using the Cubic B-Spline Scaling Method
This paper examines a category of general nonlinear integral equations. These equations also include many special cases, such as functional equations and nonlinear integral equations of the Volterra type.
Mohammed Jabbar Adaay Al-Sharea
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Volterra integral equations [PDF]
One of the current active areas of research in mathematics is the study of Volterra integral equations. Many applied problems lead to obtaining solutions of Volterra type integral equations.
Grigoryan, Anzhela
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A novel approach to nonlinear fractional volterra integral equations
Nonlinear Fractional Volterra integral equations (FVIEs) of the first kind present challenges due to their intricate nature, combining fractional calculus and integral equations.
Mohammed Abdulshareef Hussein +1 more
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On a certain nonlinear integral equation of the Volterra type [PDF]
Roberts, J. H., Mann, W. R.
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On the Variational Iteration Method for the Nonlinear Volterra Integral Equation
9 pages, 2 ...
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Nonlinear Volterra integral equations
ÖZET Yüksek Lisans Tezi LİNEER OLMAYAN VOLTERRA INTEGRAL DENKLEMLERİ Mehmet GÖÇMEN İnönü Üniversitesi Fen Bilimleri Enstitüsü Matematik Anabilim Dalı 40 + vi sayfa 2004 Danışman : Doç. Dr. Ömer Faruk Temizer Bu çalışma dört bölümden oluşmaktadır. Birinci
Göçmen, Mehmet
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An innovative iterative approach to solving Volterra integral equations of second kind
Many scientists have shown great interest in exploring the realm of second-kind integral equations, offering many techniques for solving them, including exact, approximate, and numerical methods.
Mohammed Abdulshareef Hussein +2 more
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A note on the uniqueness and attractive behavior of solutions for nonlinear Volterra equations [PDF]
In this paper we prove that positive solutions of some nonlinear Volterra integral equations must be locally bounded and global attractors of positive functions.
Benítez Suárez, Rafael, Arias, M. R.
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Volterra Runge- Kutta Methods for Solving Nonlinear Volterra Integral Equations [PDF]
In this paper Volterra Runge-Kutta methods which include: method of order two and four will be applied to general nonlinear Volterra integral equations of the second kind. Moreover we study the convergent of the algorithms of Volterra Runge-Kutta methods.
Mustafa, Muna M.
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Equivalent HPM with ADM and Convergence of the HPM to a Class of Nonlinear Integral Equations
The purpose of this study is to implement homotopy perturbation method, for solving nonlinear Volterra integral equations. In this work, a reliable approach for convergence of the HPM when applied to a class of nonlinear Volterra integral equations is
J. Manafian Heris, M. Fazli Aghdaei
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