Results 161 to 170 of about 7,017 (197)

ON THE SYSTEM OF NONLINEAR VOLTERRA-FREDHOLM INTEGRAL EQUATIONS ON TIME SCALES

Functional Differential Equations
In this paper, an attempt has been made to investigate the qualitative properties of solutions of the following nonlinear Volterra-Fredholm integral equation on time scales t.
S. Panigrahi, P. Bharti
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Numerical Solution of 2D Nonlinear Volterra-Fredholm Integral Equations using Polynomial Collocation Method

International Journal of Development Mathematics (IJDM)
In this research, polynomial collocation method was used to develop and implement numerical solutions of nonlinear two-dimensional (2D) mixed Volterra-Fredholm integral equations.
A. A. Shalangwa, M. R. Odekunle, S. Adee
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Existence of Solutions of General Nonlinear Stochastic Volterra Fredholm Integral Equations

Stochastic Analysis and Applications, 2005
In this paper, we establish a set of sufficient conditions for the existence of solutions of nonlinear Volterra-Fredholm stochastic integral equations by using the notion of measure of noncompactness and the Darbo fixed point theorem.
K. Balachandran, K. Sumathy, H. H. Kuo
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Approximate Solution of a Nonlinear Volterra–Fredholm Integral Equations Via New 𝒵‐Iterative Algorithm

Mathematical methods in the applied sciences
In this paper, we pay attention to explore the existence of common fixed points of a pair of C$$ C $$ ‐ α$$ \alpha $$ nonexpansive mappings. To execute the objective, firstly, we propose a novel three step iterative algorithm, namely 𝒵 ‐iteration, for a ...
S. Zaheer, A. Chanda, Hemant Kumar Nashine   +2 more
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Using operational matrix for solving nonlinear class of mixed Volterra–Fredholm integral equations

Mathematical Methods in the Applied Sciences, 2016
This paper presents a computational technique for the solution of the nonlinear mixed Volterra–Fredholm integral equations of the second kind. Using the properties of three‐dimensional modification of hat functions, these are types of equations to a nonlinear system of algebraic equations. Also, convergence results and error analysis are discussed. The
Mirzaee, Farshid, Hadadiyan, Elham
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A composite collocation method for the nonlinear mixed Volterra–Fredholm–Hammerstein integral equations

Communications in Nonlinear Science and Numerical Simulation, 2011
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Marzban, H. R., Tabrizidooz, H. R., Razzaghi, M.   +2 more
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Modified Decomposition Method for Solving Nonlinear Volterra–Fredholm Integral Equations

2014
In this note, an approximate solution of nonlinear Volterra–Fredholm integral equation is obtained by using modified decomposition method. General cases of nonlinear terms in the equations are considered. Finally, some numerical examples are presented to validate the accuracy and efficiency of the method.
F. S. Zulkarnain, Z. K. Eshkuvatov, Z. Muminov, N. M. A. Nik Long   +3 more
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On a Nonlinear Volterra-Fredholm Integral Equation

Sarajevo Journal of Mathematics
In this paper we study the existence, uniqueness and other properties of solutions of a certain nonlinear Volterra-Fredholm integral equation. The well known Banach fixed point theorem and the new integral inequality with explicit estimate are used to establish the results.   2000 Mathematics Subject Classification.
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Solution of nonlinear Volterra–Fredholm–Hammerstein integral equations via rationalized Haar functions

Applied Mathematics and Computation, 2006
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An Iterative Approach for Solving Nonlinear Volterra–Fredholm Integral Equation Using Tension Spline

Iranian Journal of Science and Technology, Transactions A: Science, 2020
According to mathematical literature, the parametric spline functions have not been used directly for solving the integral equations so far. In this work, we develop the tension spline approximation to obtain the numerical solution of Volterra–Fredholm integral equation.
Khosrow Maleknejad, Hamed Shahi Kalalagh
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