The main aim of this paper is to apply the Chebyshev polynomials for the solution of the linear Fredholm integro-differential-difference equation of high orders. It is usually difficult to analytically solve this equation.
Babolian, Fatemeh Chitsaz, Ali Davari
doaj
Order-optimal methods for integro-differential equations in the singular case [PDF]
© 2016, Pleiades Publishing, Ltd.We study a linear integro-differential equation with a coefficient that has zeros of finite orders. For its approximate solution in the space of generalized functions, we suggest and justify special generalized versions ...
Gabbasov N.
core
Solutions to systems of partial differential equations with weighted self-reference and heredity
This article studies the existence of solutions to systems of nonlinear integro-differential self-referred and heredity equations. We show the existence of a global solution and the uniqueness of a local solution to a system of integro-differential ...
Pham Ky Anh +2 more
doaj
An hp-Local Discontinuous Galerkin method for Parabolic\ud Integro-Differential Equations [PDF]
In this article, a priori error analysis is discussed for an hp-local discontinuous Galerkin (LDG) approximation to a parabolic integro-differential equation.
Pani, A. K., Yadav, S
core
In this article, we show sufficient conditions for the existence, uniqueness and attractivity of piecewise weighted pseudo almost periodic classical solution of nonlinear impulsive integro-differential equations.
Zhinan Xia, Dingjiang Wang
doaj
A Collocation Method for Numerical Solution of Nonlinear Delay Integro-Differential Equations for Wireless Sensor Network and Internet of Things. [PDF]
Amin R +3 more
europepmc +1 more source
Order-optimal methods for integro-differential equations in the singular case [PDF]
© 2016, Pleiades Publishing, Ltd.We study a linear integro-differential equation with a coefficient that has zeros of finite orders. For its approximate solution in the space of generalized functions, we suggest and justify special generalized versions ...
Gabbasov N.
core
UniFIDES: Universal fractional integro-differential equations solver
The development of data-driven approaches for solving differential equations has led to numerous applications in science and engineering across many disciplines and remains a central focus of active scientific inquiry.
Milad Saadat, Deepak Mangal, Safa Jamali
doaj +1 more source
Implicit Riesz wavelets based-method for solving singular fractional integro-differential equations with applications to hematopoietic stem cell modeling. [PDF]
Mohammad M, Trounev A.
europepmc +1 more source
Integro-differential equations [PDF]
openaire +2 more sources

