Results 11 to 20 of about 7,017 (197)
International Journal of Analysis and Applications, 2022 In this paper, we discuss the existence and uniqueness of the solution of the second kind nonlinear Volterra-Fredholm integral equations (NV-FIEs) which appear in mathematical modeling of many phenomena, using Picard’s method.
A. S. Rahby, M. A. Abdou, G. A. Mosa
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Solution of the Nonlinear Mixed Volterra-Fredholm Integral Equations by Hybrid of Block-Pulse Functions and Bernoulli Polynomials [PDF]
The Scientific World Journal, 2014 A new numerical method for solving the nonlinear mixed Volterra-Fredholm integral equations is presented. This method is based upon hybrid functions approximation.
S. Mashayekhi, M. Razzaghi, O. Tripak
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A NUMERICAL SOLUTION OF NONLINEAR VOLTERRA-FREDHOLM INTEGRAL EQUATIONS
Journal of Applied Analysis & Computation, 2013 In this paper, a numerical procedure for solving a class ofnonlinear Volterra-Fredholm integral equations is presented. Themethod is based upon the globally defined sinc basis functions.Properties of the sinc procedure are utilized to reduce ...
M. Zarebnia
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Evans function and Fredholm determinants. [PDF]
Proc Math Phys Eng Sci, 2015 We explore the relationship between the Evans function, transmission coefficient and Fredholm determinant for systems of first order linear differential operators on the real line.
Karambal I, Malham SJ.
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Hybrid functions approach for the nonlinear Volterra-Fredholm integral equations
Procedia Computer Science, 2011 An approximation method based on hybrid Legendre and Block–Pulse functions used for the solution of nonlinear Volterra–Fredholm integral equations (NV-FIEs). These hybrid functions operational matrices are presented and are utilized to reduce a nonlinear
E. Hashemizadeh +2 more
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Polynomial Least Squares Method for the Solution of Nonlinear Volterra-Fredholm Integral Equations [PDF]
Mathematical Problems in Engineering, 2014 The present paper presents the application of the polynomial least squares method to nonlinear integral equations of the mixed Volterra-Fredholm type. For this type of equations, accurate approximate polynomial solutions are obtained in a straightforward
B. Cǎruntu, C. Bota
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Existence of Solutions of Nonlinear Stochastic Volterra Fredholm Integral Equations of Mixed Type
International Journal of Mathematics and Mathematical Sciences, 2010 We establish sufficient conditions for the existence and uniqueness of random solutions of nonlinear Volterra-Fredholm stochastic integral equations of mixed type by using admissibility theory and fixed point theorems.
K. Balachandran, J.-H. Kim
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Convergence analysis of product integration method for nonlinear weakly singular Volterra-Fredholm integral equations [PDF]
Sahand Communications in Mathematical Analysis, 2015 In this paper, we studied the numerical solution of nonlinear weakly singular Volterra-Fredholm integral equations by using the product integration method. Also, we shall study the convergence behavior of a fully discrete version of a product integration
Parviz Darania, Jafar Ahmadi Shali
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Journal of MathematicsWe aim to introduce a numerical method to solve a system of two-dimensional nonlinear integral equations of Volterra–Fredholm type with the second kind on nonrectangular domains.
Mohsen Jalalian +2 more
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Bulletin of Mathematical Sciences and Applications, 2017 In this paper, we present a numerical solution of nonlinear Volterra-Fredholm integral equations using Haar wavelet collocation method. Properties of Haar wavelet and its operational matrices are utilized to convert the integral equation into a system of
S. Shiralashetti, R. Mundewadi
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