Solving singularly perturbed fredholm integro-differential equation using exact finite difference method. [PDF]
BMC Res Notes, 2023 Objectives In this paper, a numerical scheme is designed for solving singularly perturbed Fredholm integro-differential equation. The scheme is constructed via the exact (non-standard) finite difference method to approximate the differential part and the
Badeye SR, Woldaregay MM, Dinka TG.
europepmc +2 more sources
A fitted operator numerical method for singularly perturbed Fredholm integro-differential equation with integral initial condition. [PDF]
BMC Res NotesObjectives In this paper, a uniformly convergent numerical scheme is proposed for solving a singularly perturbed Fredholm integro-differential equation with an integral initial condition.
Oljira AF, Woldaregay MM.
europepmc +2 more sources
Dynamic analysis of delayed vaccination process along with impact of retrial queues
Computational and Mathematical Biophysics, 2023 An unprecedented and precise time-scheduled rollout for the vaccine is needed for an effective vaccination process. This study is based on the development of a novel mathematical model considering a delay in vaccination due to the inability to book a ...
Chauhan Sudipa +3 more
doaj +1 more source
Three-points interfacial quadrature for geometrical source terms on nonuniform grids [PDF]
, 2011 International audienceThis paper deals with numerical (finite volume) approximations, on nonuniform meshes, for ordinary differential equations with parameter-dependent fields.
A. Harten +31 more
core +2 more sources
Multiadaptive Galerkin Methods for ODEs III: A Priori Error Estimates [PDF]
, 2006 The multiadaptive continuous/discontinuous Galerkin methods mcG(q) and mdG(q) for the numerical solution of initial value problems for ordinary differential equations are based on piecewise polynomial approximation of degree q on partitions in time with ...
Anders Logg +8 more
core +1 more source
An efficient variable stepsize rational method for stiff, singular and singularly perturbed problems
Alexandria Engineering Journal, 2022 In this article, a new iterative method of the rational type having fifth-order of accuracy is proposed to solve initial value problems. The method is self-starting, stable, consistent, and convergent, whereas local truncation error analysis has also ...
Sania Qureshi +5 more
doaj
An adaptive stepsize algorithm for the numerical solving of initial-value problems
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2015 The present paper focuses on the efficient numerical solving of initial-value problems (IVPs) using digital computers and one-step numerical methods. We start from considering that the integration stepsize is the crucial factor in determining the number ...
Militaru Romulus
doaj +1 more source
A new accurate numerical method of approximation of chaotic solutions of dynamical model equations with quadratic nonlinearities [PDF]
, 2016 7 pages; 3 figures.International audienceIn this article the authors describe the method of construction of approximate chaotic solutions of dynamical model equations with quadratic nonlinearities in a general form using a new accurate numerical method ...
Lozi, René +2 more
core +3 more sources
Harnack inequalities and discrete - continuum error estimates for a chain of atoms with two - body interactions [PDF]
, 2008 International audienceIn the three-dimensional euclidean space, we consider deformations of an infinite linear chain of atoms where each atom interacts with all others through a two-body potential.
Benguria, Rafael +2 more
core +3 more sources
, 2014 Transcendental numbers play an important role in many areas of science. This paper contains a short survey on transcendental numbers and some relations among them.
Nichita, Florin F.
core +2 more sources