Solving singularly perturbed fredholm integro-differential equation using exact finite difference method [PDF]
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
Solomon Regasa Badeye +2 more
doaj +2 more sources
A fitted operator numerical method for singularly perturbed Fredholm integro-differential equation with integral initial condition [PDF]
Objectives In this paper, a uniformly convergent numerical scheme is proposed for solving a singularly perturbed Fredholm integro-differential equation with an integral initial condition.
Aklilu Fufa Oljira +1 more
doaj +2 more sources
An efficient variable stepsize rational method for stiff, singular and singularly perturbed problems
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 +1 more source
ABSTRACT A previous randomized controlled trial has suggested the effectiveness of a Dutch postdischarge responsive parenting program for very preterm (VPT) infants, indicating that nationwide implementation was justified. This paper describes the development and nationwide implementation of the intervention, known as the TOP program, which consisted ...
Martine Jeukens‐Visser +5 more
wiley +1 more source
Dynamic analysis of delayed vaccination process along with impact of retrial queues
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
Time-fractional nonlinear Swift-Hohenberg equation: Analysis and numerical simulation
In this paper, a new scheme based on the exponential fitting technique is presented for solving the nonlinear time-fractional Swift-Hohenberg equation, where the first and second-order derivatives are replaced by Caputo fractional derivative.
W.K. Zahra, M.A. Nasr, Dumitru Baleanu
doaj +1 more source
Three-points interfacial quadrature for geometrical source terms on nonuniform grids [PDF]
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 +3 more sources
Multiadaptive Galerkin Methods for ODEs III: A Priori Error Estimates [PDF]
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 adaptive stepsize algorithm for the numerical solving of initial-value problems
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]
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

