Frontiers in Applied Mathematics and Statistics | Numerical Analysis and Scientific Computation

Original Research

Published on 05 Jun 2025

New analytical wave solutions of fractional order DMBBM and Bateman-Burgers equations

in Numerical Analysis and Scientific Computation

Nathanon Sribua-Iam
Settapat Chinviriyasit

Frontiers in Applied Mathematics and Statistics

doi 10.3389/fams.2025.1568834

286 views

Original Research

Published on 18 Mar 2025

Analysis of casson nanofluid transport rates near a vertical stretching sheet with dissipation and slip effects

in Numerical Analysis and Scientific Computation

Tadesse Walelign

Frontiers in Applied Mathematics and Statistics

doi 10.3389/fams.2025.1526769

515 views

Original Research

Published on 03 Mar 2025

A novel exponentially fitted finite-difference method for time-fractional singularly perturbed convection–diffusion problems with variable coefficients

in Numerical Analysis and Scientific Computation

Worku Tilahun Aniley
Gemechis File Duressa

Frontiers in Applied Mathematics and Statistics

doi 10.3389/fams.2025.1541766

716 views
1 citation

Original Research

Published on 07 Jan 2025

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

in Numerical Analysis and Scientific Computation

Adisie Fenta Agmas
Fasika Wondimu Gelu
Meselech Chima Fino

Frontiers in Applied Mathematics and Statistics

doi 10.3389/fams.2024.1501271

934 views

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

892 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

1,262 views
1 citation

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

1,791 views
4 citations

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

955 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

2,694 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

14,240 views
3 citations

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

1,932 views
2 citations

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

1,838 views
5 citations

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

2,119 views
5 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

2,448 views
3 citations

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

2,456 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

2,550 views
2 citations