Fredholm boundary integral equations
Modified Numerical Method for Solving Fredholm Integral Equations
... Integral equations, that is, equations involving an unknown function which appear under an integral ...Such equations occur widely in divers areas of applied mathematics, they offer a ...
10
The dual integral equations method involving heat equation with mixed boundary conditions
... Hankle integral transform replaced by sine or cosine Fourier ...of integral equations ...single integral equation by a set of simultaneous algebraic equations; again matrix techniques ...
6
The Effect of Time Stepping on the Accuracy of Green Element Formulation of Unsteady Convective Transport
... of boundary element method (BEM) solutions of time-dependent problems, certain concerns still need to be ...the boundary element methods more often than not are computationally challenged when applied to ...
13
A computational method for nonlinear mixed Volterra-Fredholm integral equations
... [9,11]. Equations of this type arise in the theory of nonlinear parabolic boundary value problems, the mathematical model of the spatiotemporal development of an epidemic and an various physical, me- ...
11
Nonlinear Two-Phase Stefan Problem
... 16. Bahrami F., Aliev N., and Hosseini S.M. A Method for the reduction of four dimensional mixed problems with general boundary conditions to a systems of second kind fredholm integral ...
9
Analytical and numerical methods for the Riemann problem
... its boundary condition to a Fredholm integral equation of the second kind with the generalized Neumann ...using Fredholm integral ...
10
On the Performance of Haar Wavelet Approach for Boundary Value Problems and Systems of Fredholm Integral Equations
... In this section some numerical examples are considered. The exact solution introduced to show the accuracy and efficiency of the used method. In the first example we compare between the second order two point BVP and its ...
8
The Numerical Solution of the Fredholm Integral Equations of the Second Kind
... and boundary value problems associated with ordinary differential equations (ODEs) and partial differential equations (PDEs) can be solved more effectively by integral equations ...
23
The Problem of Scattering by a Mixture of Cracks and Obstacles
... of boundary integral equations has widely applications to various direct and inverse scattering problems see 13–17 and the reference ...of boundary integral equations and ...
19
On two boundary-value problems of functional integro-differential equations with nonlocal conditions
... functional equations, of various types appear in many applications that arise in the fields of mathematical analysis, nonlinear functional analysis, mathematical physics, and ...functional integral ...
7
Taylor-Series Expansion Methods for Multivariate Hammerstein Integral Equations
... an integral reformulation results in linear or nonlinear integral ...linear integral equations are Fredholm and Volterra ...nonlinear integral equation is that of ...an ...
5
An approach based on statistical spline model for Volterra-Fredholm integral equations
... Abstract In this paper, an approach based on statistical spline model (SSM) and colloca- tion method is proposed to solve Volterra-Fredholm integral equations. The set of collocation nodes is chosen ...
13
A Successive Numerical Scheme for Some Classes of Volterra-Fredholm Integral Equations
... In this section, we try to propose an algorithm on the basis of the above discussions and suppose that we face with the Volterran-Fredholm integral equation (1.1), where its kernels satisfy the conditions ...
10
Projected Tikhonov regularization method for Fredholm integral equations of the first kind
... linear integral equa- tions of the first kind; we can cite, for example, multiscale methods [–], spectral- collocation methods [, ], reproducing kernel Hilbert space methods [, ], eigen- value ...
21
B-spline Method for Solving Fredholm Integral Equations of the First Kind
... type Fredholm integral equation is a special kind of the inverse ...type Fredholm integral equation to solve the problem of ...computing. Fredholm integral equation of the first ...
8
New iterative method for solving linear Fredholm fuzzy integral equations of the second kind
... fuzzy integral equa- tions and these equations are very useful for solv- ing many problems in several applied fields like mathematical physics and engineering, therefor various approaches for solving these ...
10
Existence results of Brezis Browder type for systems of Fredholm integral equations
... RESEARCH Open Access Existence results of Brezis Browder type for systems of Fredholm integral equations Ravi P Agarwal1,2*, Donal O?Regan3 and Patricia JY Wong4 * Correspondence Agarwal@tamuk edu 1De[.] ...
35
The Combined Reproducing Kernel Method and Taylor Series for Handling Fractional Differential Equations
... In this study, we developed an efficient and com- putationally attractive method to solve the frac- tional differential equations. Using the definition of Caputo-type fractional derivative, Taylor se- ries and the ...
10
A note on dual integral equations involving inverse associated Weber Orr transforms
... Elementary methods have been used to reduce dual integral equations to a Fredholm integral equation of second kind.. Some known results are obtained as special case..[r] ...
9
AN INTRODUCTION ON NORMED SPACE IN FUNCTION ANALYSIS
... geometric equations, and ...of Fredholm and Hilbert of integral equations with operator theory, these work of Volterra and Hadamard for the problem of moments, the work of Lévesque, Fr´echet, ...
5