Solving the Abel integral equation by interpolation methods

SOLVING INTEGRO-DIFFERENTIAL EQUATION BY USING B- SPLINE INTERPOLATION

In this paper a numerical technique based on the B-spline method is presented for the solution of Fredholm integro-differential equations. To illustrate the efficiency of the method some examples are introduced and the results are compared with the exact solution.  

Solving Abel Integral Equations of First Kind via Fractional Calculus

We give a new method for numerically solving Abel integral equations of first kind. An estimation for the error is obtained. The method is based on approximations of fractional integrals and Caputo derivatives. Using trapezoidal rule and Computer Algebra System Maple, the exact and approximation values of three Abel integral equations are found, illustrating the effectiveness of the proposed ap...

Numerical Method For Solving Fuzzy Abel Integral Equations

The fuzzy differential and integral equations are important part of the fuzzy analysis theory. Park et al. [8] have considered the existence of solution of fuzzy integral equation in Banach space and Subrahmaniam and Sudarsanam [12] proved the existence of solution of fuzzy functional equations. An integral equation is called singular if either the range of integration is infinite or the kernel...

An Analytic Algorithm for Generalized Abel Integral Equation

In this paper, a homotopy perturbation method (HPM) and modified homotopy perturbation (MHPM) are proposed to solve singular integral equation with generalized Abel's kernel.

Using multiquadric quasi-interpolation for solving Kawahara equation