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Numerical methods for integral equations

Numerical Methods for Fredholm Integral Equations of the First Kind

Numerical Methods for Fredholm Integral Equations of the First Kind

... Fredholm integral equations of the first kind have significant meaning for the practical problems in the fields of engineering, physics, image processing, ...Various numerical methods were ...

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Numerical methods for the high speed solution of integral equations in wireless communications

Numerical methods for the high speed solution of integral equations in wireless communications

... The following results given by the GFPM show very good agreement with the exact results for the Danish profiles. This is to be expected because these profiles do not undulate rapidly or to any great degree. Hence the ...

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Numerical Solution of Volterra Integral Equations of Second Kind

Numerical Solution of Volterra Integral Equations of Second Kind

... of integral equations. These equations also occur as reformulations of other mathematical problems such as partial differential equations and ordinary differential ...of integral ...

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The Numerical Solution of the Fredholm Integral Equations of the Second Kind

The Numerical Solution of the Fredholm Integral Equations of the Second Kind

... analytical methods are the degenerate kernel methods,the Adomain decomposition method, the modified decomposition method and the method of successive ...following numerical methods: Projection ...

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The numerical inversion of Abel type integral equations in stereology

The numerical inversion of Abel type integral equations in stereology

... 2 Basic properties of integral equations of Abel t ype and the stereological data 3,3 CHAPTER 4 : 10 15 17 Numerical methods for Abel type equations in stereology 24 3,4 Spectral differe[r] ...

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Numerical investigation of nonlinear volterra hammerstein integral equations via single term haar wavelet series

Numerical investigation of nonlinear volterra hammerstein integral equations via single term haar wavelet series

... The STHW are applied to solve nonlinear Volterra- Hammerstein integral equations. This method is simple. It uses only six pieces of information from the past and evaluates the driving function only six per ...

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A NUMERICAL METHOD FOR SOLVING LINEAR INTEGRAL EQUATIONS

A NUMERICAL METHOD FOR SOLVING LINEAR INTEGRAL EQUATIONS

... Integral equations find special applicability within scientific and mathematical ...linear integral equations is presented. To check the numerical method, it is applied to solve ...

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Solving linear integral equations with Fibonacci polynomials

Solving linear integral equations with Fibonacci polynomials

... Integral equations appear in mathematical modeling of different disciplines such a biology, chemistry, physics, en- ...many numerical methods for ap- proximating the solution of Fredholm and ...

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Exact Solution of Fractional Black Scholes European Option Pricing Equations

Exact Solution of Fractional Black Scholes European Option Pricing Equations

... these numerical methods, the VIM and the ADM are the most popu- lar ones that are used to solve differential and integral equations of integer and fractional ...differential equations ...

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Modified Numerical Method for Solving Fredholm Integral Equations

Modified Numerical Method for Solving Fredholm Integral Equations

... Abstract. In this work, we have presented a novel method to find the numerical solution of the linear Ferdholm integral equation of second kind. This method is based on the Taylor series multiplied by an ...

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Finite part singular integral approximations in Hilbert spaces

Finite part singular integral approximations in Hilbert spaces

... several numerical methods for the evaluation of the finite-part singular integral equations of the first and the second kind and has applied them to some important problems of fracture ...

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Multistage Numerical Picard Iteration Methods for Nonlinear Volterra Integral Equations of the Second Kind

Multistage Numerical Picard Iteration Methods for Nonlinear Volterra Integral Equations of the Second Kind

... Volterra integral equation are consi- dered in [1]-[4] ...and numerical methods have been proposed for solving this type of equa- tions, such as the linearization and collocation method [10]-[14], ...

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Sinc-Galerkin method for approximate solutions of fractional order boundary value problems

Sinc-Galerkin method for approximate solutions of fractional order boundary value problems

... implementation methods is useful and active research area. Some well-known methods for the analytical and numerical solutions of fractional differential and integral equations might be ...

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Numerical solution of two-dimensional integral equations of the first kind by multi-step methods

Numerical solution of two-dimensional integral equations of the first kind by multi-step methods

... the integral equations of the first kind are ill-posed problems, that is, a small perturbation in the given data makes a large perturbation in the solution ...These equations in two-dimensional case ...

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A successive iterative approach for two dimensional nonlinear Volterra-Fredholm integral equations

A successive iterative approach for two dimensional nonlinear Volterra-Fredholm integral equations

... The integral equations provide important tools for modeling a wide range of phenomena and processes [14], and solving many problems in engineering and mechanics which are dependent on finding the solution ...

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NUMERICAL SCHEMES FOR SOLVING VOLTERRA INTEGRAL EQUATIONS WITH CARLEMAN KERNEL

NUMERICAL SCHEMES FOR SOLVING VOLTERRA INTEGRAL EQUATIONS WITH CARLEMAN KERNEL

... Three numerical schemes, namely: Toeplitz Matrix meth-od, Prod- uct Nystrom method and Sinc-Collocation method have been proposed and implemented to give an approximate solution of the linear Volterra ...

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A Survey of Regularization Methods of Solution of Volterra Integral Equations of the First Kind

A Survey of Regularization Methods of Solution of Volterra Integral Equations of the First Kind

... regularization methods for first kind Volterra integral equations that maintain the Volterra structure, we never lost sight of the distinguishing features associated with this class of ...

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Application of A Second Derivative Multi-Step Method to Numerical Solution of Volterra Integral Equation of Second Kind

Application of A Second Derivative Multi-Step Method to Numerical Solution of Volterra Integral Equation of Second Kind

... As is known, many problems of natural science are reduced mainly to the solution of nonlinear Volterra integral equations. The method of quadratures that was first applied by Volterra to solving variable ...

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Projected Tikhonov regularization method for Fredholm integral equations of the first kind

Projected Tikhonov regularization method for Fredholm integral equations of the first kind

... Several numerical methods are available in the literature to solve linear integral equa- tions of the first kind; we can cite, for example, multiscale methods [–], spectral- collocation ...

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Numerical Method for solving Volterra Integral Equations with a Convolution Kernel

Numerical Method for solving Volterra Integral Equations with a Convolution Kernel

... Several numerical methods are available for approximating the Volterra integral ...of integral equation using the Chebyshev polynomials, while Yousefi[5] presented a numerical method ...

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