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   Articles with "volterra fredholm" as a keyword



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Using operational matrix for solving nonlinear class of mixed Volterra–Fredholm integral equations

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recommendations! Published in 2017 at "Mathematical Methods in The Applied Sciences"

DOI: 10.1002/mma.4237

Abstract: 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… read more here.

Keywords: using operational; mixed volterra; volterra fredholm; fredholm integral ... See more keywords
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Solvability of the fractional Volterra‐Fredholm integro differential equation by hybridizable discontinuous Galerkin method

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recommendations! Published in 2019 at "Mathematical Methods in the Applied Sciences"

DOI: 10.1002/mma.5821

Abstract: This article proves the existence and uniqueness of the solution obtained by the hybridizable discontinuous Galerkin (HDG) method of the fractional Volterra‐Fredholm integro differential equation. The method based on local solvers and transmission condition is… read more here.

Keywords: discontinuous galerkin; volterra fredholm; method; equation ... See more keywords
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Existence and uniqueness of solutions for nonlinear Volterra‐Fredholm integro‐differential equation of fractional order with boundary conditions

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recommendations! Published in 2019 at "Mathematical Methods in the Applied Sciences"

DOI: 10.1002/mma.5845

Abstract: In this paper, we established some results concerning the existence and uniqueness of a nonlinear Volterra‐Fredholm integro‐differential equation of Caputo fractional order subject to the boundary value conditions. These new results are obtained by applying… read more here.

Keywords: existence uniqueness; volterra fredholm; integro differential; differential equation ... See more keywords
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Numerical solution of Volterra–Fredholm integral equations with Hosoya polynomials

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recommendations! Published in 2021 at "Mathematical Methods in the Applied Sciences"

DOI: 10.1002/mma.7479

Abstract: In this study, Volterra–Fredholm integral equation is solved by Hosoya polynomials. The solutions obtained with these methods were compared on the figure and table. And error analysis was done. MATLAB programming language has been used… read more here.

Keywords: hosoya polynomials; volterra fredholm; solution volterra; numerical solution ... See more keywords
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Chebyshev collocation treatment of Volterra–Fredholm integral equation with error analysis

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recommendations! Published in 2019 at "Arabian Journal of Mathematics"

DOI: 10.1007/s40065-019-0243-y

Abstract: This work reports a collocation algorithm for the numerical solution of a Volterra–Fredholm integral equation (V-FIE), using shifted Chebyshev collocation (SCC) method. Some properties of the shifted Chebyshev polynomials are presented. These properties together with… read more here.

Keywords: chebyshev collocation; fredholm integral; integral equation; equation ... See more keywords
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Analytical Solution of Volterra–Fredholm Integral Equations Using Hybrid of the Method of Contractive Mapping and Parameter Continuation Method

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recommendations! Published in 2019 at "International Journal of Applied and Computational Mathematics"

DOI: 10.1007/s40819-019-0684-1

Abstract: In this paper, an analytical method is proposed to solve Volterra–Fredholm integral equations. The method is based on a hybrid of the method of contractive mapping and parameter continuation method. The existence and uniqueness of… read more here.

Keywords: hybrid method; integral equations; fredholm integral; volterra fredholm ... See more keywords
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Numerical solution of fractional Volterra-Fredholm integro-differential equations with mixed boundary conditions via Chebyshev wavelet method

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recommendations! Published in 2019 at "International Journal of Computer Mathematics"

DOI: 10.1080/00207160.2018.1521517

Abstract: ABSTRACT In this paper, the fourth kind Chebyshev wavelets collocation method (FCWM) is applied for solving a class of fractional Volterra-Fredholm integro-differential equations with mixed boundary conditions. Fractional integral formula of a single Chebyshev wavelet… read more here.

Keywords: chebyshev; fractional volterra; boundary conditions; solution ... See more keywords
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Numerical Solutions of Stochastic Volterra–Fredholm Integral Equations by Hybrid Legendre Block-Pulse Functions

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recommendations! Published in 2018 at "International Journal of Nonlinear Sciences and Numerical Simulation"

DOI: 10.1515/ijnsns-2017-0038

Abstract: Abstract In this article, the numerical solutions of stochastic Volterra–Fredholm integral equations have been obtained by hybrid Legendre block-pulse functions (BPFs) and stochastic operational matrix. The hybrid Legendre BPFs are orthonormal and have compact support… read more here.

Keywords: stochastic volterra; hybrid legendre; solutions stochastic; numerical solutions ... See more keywords
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A Symbolic Method for Solving a Class of Convolution-Type Volterra-Fredholm-Hammerstein Integro-Differential Equations under Nonlocal Boundary Conditions

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recommendations! Published in 2023 at "Algorithms"

DOI: 10.3390/a16010036

Abstract: Integro-differential equations involving Volterra and Fredholm operators (VFIDEs) are used to model many phenomena in science and engineering. Nonlocal boundary conditions are more effective, and in some cases necessary, because they are more accurate measurements… read more here.

Keywords: nonlocal boundary; integro differential; volterra fredholm; boundary conditions ... See more keywords
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Solving Fractional Volterra-Fredholm Integro-Differential Equations via A** Iteration Method

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recommendations! Published in 2022 at "Axioms"

DOI: 10.3390/axioms11090470

Abstract: In this article, we develop a faster iteration method, called the A** iteration method, for approximating the fixed points of almost contraction mappings and generalized α-nonexpansive mappings. We establish some weak and strong convergence results… read more here.

Keywords: fredholm integro; fractional volterra; iteration method; volterra fredholm ... See more keywords
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On Some Iterative Numerical Methods for Mixed Volterra-Fredholm Integral Equations

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recommendations! Published in 2019 at "Symmetry"

DOI: 10.3390/sym11101200

Abstract: In this paper, we propose a class of simple numerical methods for approximating solutions of one-dimensional mixed Volterra–Fredholm integral equations of the second kind. These methods are based on fixed point results for the existence… read more here.

Keywords: mixed volterra; numerical methods; volterra fredholm; fredholm integral ... See more keywords