Results 21 to 30 of about 105 (96)
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
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A new adaptive nonlinear numerical method for singular and stiff differential problems
Alexandria Engineering Journal, 2023 In this work, a new adaptive numerical method is proposed for solving nonlinear, singular, and stiff initial value problems often encountered in real life.
Sania Qureshi +6 more
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A Generalized ML-Hyers-Ulam Stability of Quadratic Fractional Integral Equation
Nonlinear Engineering, 2021 An interesting quadratic fractional integral equation is investigated in this work via a generalized Mittag-Leffler (ML) function. The generalized ML–Hyers–Ulam stability is established in this investigation.
Kaabar Mohammed K. A. +5 more
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Alexandria Engineering Journal, 2023 In this research, we adopt a fully implicit approach with a weighted shifted Grunwald–Letnikov difference operator to find the numerical solution of the one and two-dimensional nonlinear space fractional convection–diffusion-reaction equation over a ...
Eyaya Fekadie Anley +3 more
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Cubic spline solutions of the ninth order linear and non-linear boundary value problems
Alexandria Engineering Journal, 2022 A lot of numerical formulations of physical phenomena contain 9th-order BVPs. The presented probe intends to consider the spline solutions of the 9th-order boundary value problems using Cubic B Spline(CBS).
Xiao-Zhong Zhang +5 more
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Arab Journal of Mathematical Sciences, 2019 A class of third order singularly perturbed convection diffusion type equations with integral boundary condition is considered. A numerical method based on a finite difference scheme on a Shishkin mesh is presented.
Velusamy Raja, Ayyadurai Tamilselvan
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A posteriori error estimates for mixed finite volume solution of elliptic boundary value problems
Moroccan Journal of Pure and Applied Analysis, 2017 The major emphasis of this work is the derivation of a posteriori error estimates for the mixed finite volume discretization of second-order elliptic equations. The estimates are established for meshes consisting of simplices on unstructured grids.
Benkhaldoun Fayssal +2 more
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Alexandria Engineering Journal, 2020 Fractional derivative has a memory and non-localization features that make it very useful in modelling epidemics’ transition. The kernel of Caputo-Fabrizio fractional derivative has many features such as non-singularity, non-locality and an exponential ...
M. Higazy, Maryam Ahmed Alyami
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Numerical Analysis of Transmission Lines Equation by new β-method Schemes
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017 In this paper we develop a new β-method applied to the resolution of homogeneous transmission lines. A comparison with conventional methods used for this type of problems like FDTD method or classical β-method is also given.
Allali Fatima +3 more
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Gaussian quadrature rules and A‐stability of Galerkin schemes for ODE
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 31, Page 1947-1959, 2003., 2003 The A‐stability properties of continuous and discontinuous Galerkin methods for solving ordinary differential equations (ODEs) are established using properties of Legendre polynomials and Gaussian quadrature rules. The influence on the A‐stability of the numerical integration using Gaussian quadrature rules involving a parameter is analyzed.
Ali Bensebah +2 more
wiley +1 more source