Non-linear integral equations for Heun functions

Modified homotopy method to solve non-linear integral equations

In this article we decide to define a modified homotopy perturbation for solving non-linear integral equations. Almost, all of the papers that was presented to solve non-linear problems by the homotopy method, they used from two non-linear and linear operators. But we convert a non-linear problem to two suitable non-linear operators also we use from appropriate bases functions such as Legendre ...

Numerical method for non-linear fuzzy Volterra integral equations of the second kind

Fully non linear equations with integral diffusions

The authors establish weighted decay rates for the energy associated with the Cauchy problem { utt − div(b(x)∇u) + a(x)ut = 0, x ∈ R, t > 0 u(0, x) = u0(x), ut(0, x) = u1(x), x ∈ R. Such a system appears in models for traveling waves in a non-homogeneous gas with damping that changes with the position. This problem has been studied intensively for the homogeneous medium (when b is constant), bu...

Numerical solution of system of linear integral equations via improvement of block-pulse functions

In this article, a numerical method based on  improvement of block-pulse functions (IBPFs) is discussed for solving the system of linear Volterra and Fredholm integral equations. By using IBPFs and their operational matrix of integration, such systems can be reduced to a linear system of algebraic equations. An efficient error estimation and associated theorems for the proposed method are also ...

modified homotopy method to solve non-linear integral equations

in this article we decide to define a modified homotopy perturbation for solving non-linear integral equations. almost, all of the papers that was presented to solve non-linear problems by the homotopy method, they used from two non-linear and linear operators. but we convert a non-linear problem to two suitable non-linear operators also we use from appropriate bases functions such as legendre ...