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Modified Three-Point Fractional Formulas With Richardson Extrapolation
Mathematics, 2022 In this paper, we introduce new three-point fractional formulas which represent three generalizations for the well-known classical three-point formulas; central, forward and backward formulas.
Shaher Momani +2 more
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Numerical investigation of singularly perturbed time lag parabolic differential-difference equations [PDF]
HeliyonThis paper deals with the numerical investigation of a singularly perturbed parabolic differential-difference equation with a time lag. The proposed method comprises the θ method (θ=1) and the non-standard finite difference methods for temporal and ...
Imiru Takele Daba +3 more
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Қарағанды университетінің хабаршысы. Математика сериясы, 2021 In this paper, we suggest two new methods for approximating the solution to the Volterra integro-fractional differential equation (VIFDEs), based on the normal quadratic spline function and the second method used the Richardson Extrapolation technique ...
K.H.F. Jwamer +2 more
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Accurate numerical scheme for singularly perturbed parabolic delay differential equation
BMC Research Notes, 2021 Objectives Numerical treatment of singularly perturbed parabolic delay differential equation is considered. Solution of the equation exhibits a boundary layer, which makes it difficult for numerical computation.
Mesfin Mekuria Woldaregay +1 more
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Results in Applied Mathematics, 2023 The singularly perturbed parabolic convection–diffusion equations with integral boundary conditions and a large negative shift are studied in this paper.
Wondimagegnehu Simon Hailu +1 more
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Extrapolation Method for Non-Linear Weakly Singular Volterra Integral Equation with Time Delay
Mathematics, 2021 This paper proposes an extrapolation method to solve a class of non-linear weakly singular kernel Volterra integral equations with vanishing delay. After the existence and uniqueness of the solution to the original equation are proved, we combine an ...
Li Zhang, Jin Huang, Hu Li, Yifei Wang
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A Local Adaptive Mesh Refinement for JFO Cavitation Model on Cartesian Meshes
Applied Sciences, 2021 Nonuniform mesh is beneficial to reduce computational cost and improve the resolution of the interest area. In the paper, a cell-based adaptive mesh refinement (AMR) method was developed for bearing cavitation simulation.
Wanjun Xu +4 more
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Numerical Methods Coupled with Richardson Extrapolation for Computation of Transient Power Systems
Ingeniería y Ciencia, 2017 The numerical solution of transient stability problems is a key element for electrical power system operation. The classical model for multi-machine systems is defined as a set of non-linear differential equations for the rotor speed and the generator ...
Whady Felipe Florez +4 more
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A Second-Order Accurate Numerical Approximation for a Two-Sided Space-Fractional Diffusion Equation
Mathematics, 2023 In this paper, we investigate a practical numerical method for solving a one-dimensional two-sided space-fractional diffusion equation with variable coefficients in a finite domain, which is based on the classical Crank-Nicolson (CN) method combined with
Taohua Liu +3 more
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Can One Predict Coronal Mass Ejection Arrival Times With Thirty‐Minute Accuracy?
Space Weather, 2023 J. Schmidt and Cairns (2019, https://doi.org/10.48550/arXiv.1905.08961) have recently claimed that they can predict Coronal Mass Ejection (CME) arrival times with an accuracy of 0.9 ± 1.9 hr for four separate events.
Gábor Tóth +2 more
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