Analytic-Approximate Solution For An Integro- Differential Equation Arising In Oscillating Magnetic Fields Using Homotopy Analysis Method [PDF]
In this paper, we give an analytical approximate solution for an integro- differential equation which describes the charged particle motion for certain configurations of oscillating magnetic fields is considered.
H. Saberi-Nik, S. Effati, R. Buzhabadi
doaj
Solving singularly perturbed fredholm integro-differential equation using exact finite difference method. [PDF]
Badeye SR, Woldaregay MM, Dinka TG.
europepmc +1 more source
Soliton solution of the generalized fifth order Hirota-Satsuma equation coupled with KdV [PDF]
We introduced a fifth-order partial differential equation as a generalization of Hirota-Satsuma coupled with KdV system. This equation is investigated based on tanh method. By applying the suitable independent variable in Hirota-Satsuma equation, we can convert this partial differential equations(PDE) into ordinary differential equations(ODE) .Solving ...
arxiv
Uniqueness of a nonlinear integro-differential equation with nonlocal boundary condition and variable coefficients. [PDF]
Li C.
europepmc +1 more source
A fast algorithm for Prandtl's integro-differential equation
Collocation and quadrature methods for singular integro-differential equations of Prandtl's type are studied in weighted Sobolev spaces. A fast algorithm basing on the quadrature method is proposed. Convergence results and error estimates are given.
M. R. CAPOBIANCO+2 more
openaire +5 more sources
An efficient numerical method for a singularly perturbed Fredholm integro-differential equation with integral boundary condition. [PDF]
Durmaz ME, Amirali I, Amiraliyev GM.
europepmc +1 more source
A novel deterministic forecast model for COVID-19 epidemic based on a single ordinary integro-differential equation. [PDF]
Köhler-Rieper F+2 more
europepmc +2 more sources
On the nonlinear Hadamard-type integro-differential equation. [PDF]
Li C.
europepmc +1 more source
Travelling waves for integro-differential equations in population dynamics
The paper is devoted to integro-differential equations arising in population dynamics. The integral term describes the nonlocal consumption of resources. We study the Fredholm property of the corresponding linear operators and use it to prove the existence of travelling waves when the support of the integral is sufficiently small.
Apreutesei, Narcisa+2 more
openaire +6 more sources
Differential Equations Compatible with KZ Equations [PDF]
We define a system of "dynamical" differential equations compatible with the KZ differential equations. The KZ differential equations are associated to a complex simple Lie algebra $\mathbf{g}$. These are equations on a function of $n$ complex variables $z_i$ taking values in the tensor product of $n$ finite dimensional $\mathbf{g}$-modules.
arxiv