Results 11 to 20 of about 495 (88)
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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Robust numerical method for singularly perturbed differential equations with large delay
Demonstratio Mathematica, 2021 In this paper, a singularly perturbed differential equation with a large delay is considered. The considered problem contains a large delay parameter on the reaction term. The solution of the problem exhibits the interior layer due to the delay parameter
Abdulla Murad Ibrahim +2 more
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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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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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Runge-Kutta-Gegenbauer explicit methods for advection-diffusion problems [PDF]
, 2019 In this paper, Runge-Kutta-Gegenbauer (RKG) stability polynomials of arbitrarily high order of accuracy are introduced in closed form. The stability domain of RKG polynomials extends in the the real direction with the square of polynomial degree, and in ...
O'Sullivan, Stephen
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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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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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DIRK Schemes with High Weak Stage Order
, 2020 Runge-Kutta time-stepping methods in general suffer from order reduction: the observed order of convergence may be less than the formal order when applied to certain stiff problems.
A Ditkowski +9 more
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