Original Research

Accepted on 04 Dec 2024

A robust exponentially fitted higher order numerical method for a two parameter singularly perturbed boundary value problem

in Numerical Analysis and Scientific Computation

Fasika Wondimu Gelu
Adisie Fenta Agmas
Meselech Chima Fino

Frontiers in Applied Mathematics and Statistics

doi 10.3389/fams.2024.1501271

Original Research

Published on 21 Oct 2024

A Boolean sum interpolation for multivariate functions of bounded variation

in Numerical Analysis and Scientific Computation

Jürgen Prestin
Yevgeniya V. Semenova

Frontiers in Applied Mathematics and Statistics

doi 10.3389/fams.2024.1489137

303 views

Original Research

Published on 15 Jul 2024

Numerical integration method for two-parameter singularly perturbed time delay parabolic problem

in Numerical Analysis and Scientific Computation

Shegaye Lema Cheru
Gemechis File Duressa
Tariku Birabasa Mekonnen

Frontiers in Applied Mathematics and Statistics

doi 10.3389/fams.2024.1414899

825 views

Original Research

Published on 17 Jun 2024

On generalizations of some fixed point theorems in semimetric spaces with triangle functions

in Numerical Analysis and Scientific Computation

Evgeniy Petrov
Ruslan Salimov
Ravindra K. Bisht

Frontiers in Applied Mathematics and Statistics

doi 10.3389/fams.2024.1392560

1,098 views
1 citation

Original Research

Published on 16 May 2024

Darboux transformation of symmetric Jacobi matrices and Toda lattices

in Numerical Analysis and Scientific Computation

Ivan Kovalyov
Oleksandra Levina

Frontiers in Applied Mathematics and Statistics

doi 10.3389/fams.2024.1397374

752 views

Original Research

Published on 21 Mar 2024

Expand-contract plasticity on the real line

in Numerical Analysis and Scientific Computation

Dirk Langemann
Olesia Zavarzina

Frontiers in Applied Mathematics and Statistics

doi 10.3389/fams.2024.1387012

2,375 views

Original Research

Published on 22 Feb 2024

Numerical methods for solving second-order initial value problems of ordinary differential equations with Euler and Runge-Kutta fourth-order methods

in Numerical Analysis and Scientific Computation

Yenesew Workineh
Habtamu Mekonnen
Basaznew Belew

Frontiers in Applied Mathematics and Statistics

doi 10.3389/fams.2024.1360628

11,406 views

Original Research

Published on 08 Jan 2024

Third-degree B-spline collocation method for singularly perturbed time delay parabolic problem with two parameters

in Numerical Analysis and Scientific Computation

Imiru Takele Daba
Wondwosen Gebeyaw Melesse
Guta Demisu Kebede

Frontiers in Applied Mathematics and Statistics

doi 10.3389/fams.2023.1260651

1,572 views
1 citation

Original Research

Published on 07 Sep 2023

Parameter-uniformly convergent numerical scheme for singularly perturbed delay parabolic differential equation via extended B-spline collocation

in Numerical Analysis and Scientific Computation

Zerihun Ibrahim Hassen
Gemechis File Duressa

Frontiers in Applied Mathematics and Statistics

doi 10.3389/fams.2023.1255672

1,517 views
1 citation

Original Research

Published on 05 Sep 2023

A nonstandard fitted operator finite difference method for two-parameter singularly perturbed time-delay parabolic problems

in Numerical Analysis and Scientific Computation

Mekashaw Ali Mohye
Justin B. Munyakazi
Tekle Gemechu Dinka

Frontiers in Applied Mathematics and Statistics

doi 10.3389/fams.2023.1222162

1,798 views
2 citations

Original Research

Published on 31 Aug 2023

Fitted computational method for singularly perturbed convection-diffusion equation with time delay

in Numerical Analysis and Scientific Computation

Sisay Ketema Tesfaye
Gemechis File Duressa
Mesfin Mekuria Woldaregay
Tekle Gemechu Dinka

Frontiers in Applied Mathematics and Statistics

doi 10.3389/fams.2023.1244490

2,113 views
1 citation

Original Research

Published on 11 Jul 2023

Study of the stability of a meshless generalized finite difference scheme applied to the wave equation

in Numerical Analysis and Scientific Computation

Gerardo Tinoco-Guerrero
Francisco Javier Domínguez-Mota
José Alberto Guzmán-Torres
Ricardo Román-Gutiérrez
José Gerardo Tinoco-Ruiz

Frontiers in Applied Mathematics and Statistics

doi 10.3389/fams.2023.1214022

2,206 views

Review

Published on 05 Apr 2023

Combining finite element space-discretizations with symplectic time-marching schemes for linear Hamiltonian systems

in Numerical Analysis and Scientific Computation

Bernardo Cockburn
Shukai Du
Manuel A. Sánchez

Frontiers in Applied Mathematics and Statistics

doi 10.3389/fams.2023.1165371

1,995 views
1 citation

Original Research

Published on 24 Mar 2023

A robust numerical scheme for singularly perturbed differential equations with spatio-temporal delays

in Numerical Analysis and Scientific Computation

Ababi Hailu Ejere
Gemechis File Duressa
Mesfin Mekuria Woldaregay
Tekle Gemechu Dinka

Frontiers in Applied Mathematics and Statistics

doi 10.3389/fams.2023.1125347

2,565 views
2 citations

Original Research

Published on 13 Feb 2023

A NSFD method for the singularly perturbed Burgers-Huxley equation

in Numerical Analysis and Scientific Computation

Eshetu B. Derzie
Justin B. Munyakazi
Tekle G. Dinka

Frontiers in Applied Mathematics and Statistics

doi 10.3389/fams.2023.1068890

3,123 views
2 citations

Original Research

Published on 04 Jan 2023

Numerical treatment of singularly perturbed unsteady Burger-Huxley equation

in Numerical Analysis and Scientific Computation

Imiru Takele Daba
Gemechis File Duressa

Frontiers in Applied Mathematics and Statistics

doi 10.3389/fams.2022.1061245

1,529 views

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Articles

A robust exponentially fitted higher order numerical method for a two parameter singularly perturbed boundary value problem

A Boolean sum interpolation for multivariate functions of bounded variation

Numerical integration method for two-parameter singularly perturbed time delay parabolic problem

On generalizations of some fixed point theorems in semimetric spaces with triangle functions

Darboux transformation of symmetric Jacobi matrices and Toda lattices

Expand-contract plasticity on the real line

Numerical methods for solving second-order initial value problems of ordinary differential equations with Euler and Runge-Kutta fourth-order methods

Third-degree B-spline collocation method for singularly perturbed time delay parabolic problem with two parameters

Parameter-uniformly convergent numerical scheme for singularly perturbed delay parabolic differential equation via extended B-spline collocation

A nonstandard fitted operator finite difference method for two-parameter singularly perturbed time-delay parabolic problems

Fitted computational method for singularly perturbed convection-diffusion equation with time delay

Study of the stability of a meshless generalized finite difference scheme applied to the wave equation

Combining finite element space-discretizations with symplectic time-marching schemes for linear Hamiltonian systems

A robust numerical scheme for singularly perturbed differential equations with spatio-temporal delays

A NSFD method for the singularly perturbed Burgers-Huxley equation

Numerical treatment of singularly perturbed unsteady Burger-Huxley equation