An efficient numerical method for nonlinear fractional differential equations based on the generalized Mittag‐Leffler functions and Lagrange polynomials
Sign Up to like & getrecommendations! Published in 2020 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.6852
Abstract: In this paper, an efficient numerical method is developed for solving a class of nonlinear fractional differential equations. The main idea is to transform the nonlinear fractional differential equations into a system of integral equations… read more here.
Keywords: nonlinear fractional; numerical method; method; fractional differential ... See more keywords
An efficient numerical method for quasi-static crack propagation in heterogeneous media
Sign Up to like & getrecommendations! Published in 2018 at "International Journal of Fracture"
DOI: 10.1007/s10704-018-0284-9
Abstract: The paper is devoted to the problem of slow crack growth in heterogeneous media. The crack is subjected to arbitrary pressure distribution on the crack surface. The problem relates to construction of the so-called equilibrium… read more here.
Keywords: numerical method; quasi static; method quasi; efficient numerical ... See more keywords
An efficient numerical method to solve 2-D interval bi-modular problems via orthogonal polynomial expansion
Sign Up to like & getrecommendations! Published in 2020 at "Applied Mathematical Modelling"
DOI: 10.1016/j.apm.2020.03.032
Abstract: Abstract An interval analysis of uncertain bi-modular problems is presented by addressing the efficiency of deterministic solution and reduction of computational cost on the non-linear FE iteration. Firstly, the singularity of 2-D conventional bi-modular constitutive… read more here.
Keywords: numerical method; modular problems; orthogonal polynomial; polynomial expansion ... See more keywords
An efficient numerical approach to the prediction of laminate tolerance to Barely Visible Impact Damage
Sign Up to like & getrecommendations! Published in 2019 at "Composite Structures"
DOI: 10.1016/j.compstruct.2019.111017
Abstract: Abstract An efficient numerical approach for the prediction of the Compression After Impact (CAI) strength of aerospace-grade CFRP laminates when exposed to Barely Visible Impact Damage (BVID) is proposed. The approach is based on mapping… read more here.
Keywords: approach prediction; visible impact; numerical approach; approach ... See more keywords
An efficient 1D numerical model adapted to the study of transient convecto-diffusive heat and mass transfer in directional solidification
Sign Up to like & getrecommendations! Published in 2017 at "International Journal of Heat and Mass Transfer"
DOI: 10.1016/j.ijheatmasstransfer.2017.03.021
Abstract: We combine an effective diffusivity model with a numerical approach initially proposed by Meyer (1981) to simulate transient heat and mass transfer phenomena in a directionally solidifying Sn-Bi rod. This particularly efficient 1D numerical model… read more here.
Keywords: efficient numerical; model; heat mass; mass transfer ... See more keywords
An efficient numerical scheme for the study of equal width equation
Sign Up to like & getrecommendations! Published in 2018 at "Results in physics"
DOI: 10.1016/j.rinp.2018.04.060
Abstract: Abstract In this work a new numerical scheme is proposed in which Haar wavelet method is coupled with finite difference scheme for the solution of a nonlinear partial differential equation. The scheme transforms the partial… read more here.
Keywords: width equation; scheme; numerical scheme; equation ... See more keywords
A novel efficient numerical solution of Laplace equation with mixed boundary conditions
Sign Up to like & getrecommendations! Published in 2021 at "International Journal of Computer Mathematics"
DOI: 10.1080/00207160.2021.1967939
Abstract: This paper describes a new type of method to solve Laplace equation subject to mixed boundary conditions in two-dimensional domains for electrostatics. The electric potential ϕ is represented by harmonic Steklov eigenfunctions, obtained from a… read more here.
Keywords: boundary conditions; efficient numerical; mixed boundary; laplace equation ... See more keywords
Evaluation of the ground-coupled quasi-stationary heat transfer in buildings by means of an accurate and computationally efficient numerical approach and comparison with the ISO 13370 procedure
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Building Performance Simulation"
DOI: 10.1080/19401493.2019.1628304
Abstract: The purpose of this article is to present and validate a computationally efficient numerical approach for the calculation of the ground-coupled heat transfer in buildings with periodic boundary conditions. When the boundary conditions of the… read more here.
Keywords: numerical approach; transfer; heat transfer; efficient numerical ... See more keywords
Efficient numerical approach to high-fidelity phase-modulated gates in long chains of trapped ions.
Sign Up to like & getrecommendations! Published in 2023 at "Physical review. E"
DOI: 10.1103/physreve.107.035304
Abstract: Almost every quantum circuit is built with two-qubit gates in the current stage, which are crucial to the quantum computing in any platform. The entangling gates based on Mølmer-Sørensen schemes are widely exploited in the… read more here.
Keywords: efficient numerical; high fidelity; approach high; fidelity ... See more keywords
Efficient numerical approach for modeling coupled electron and nanosecond laser pulse propagation dynamics in dielectric materials.
Sign Up to like & getrecommendations! Published in 2025 at "Physical review. E"
DOI: 10.1103/physreve.111.035309
Abstract: The interaction of intense laser pulses with matter leads to various applications since it enables the transformation of the state of matter owing to a localized energy deposition. The advances in this field rely in… read more here.
Keywords: laser; propagation; efficient numerical; laser pulse ... See more keywords
Efficient Numerical Model to Analyze the Conformal Frequency-Selective Surfaces
Sign Up to like & getrecommendations! Published in 2017 at "IEEE Antennas and Wireless Propagation Letters"
DOI: 10.1109/lawp.2017.2669405
Abstract: A modified model is presented in this letter to efficiently analyze the electromagnetic properties of the conformal capacitive frequency-selective surfaces (FSSs). By employing a dual set of quasi-orthogonal rooftop basis functions for the surface current… read more here.
Keywords: frequency selective; selective surfaces; numerical model; model ... See more keywords