Using a numerical method by omitting discretization of data to study numerical solutions for boundary value problems of fractional order differential equations
Sign Up to like & getrecommendations! Published in 2019 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.5800
Abstract: This manuscript is concerned to the numerical solutions by using shifted Jacobi polynomials (SJPs). By means of these polynomials, we construct some operational matrices (OMs) of fractional order integration and differentiation omitting collocations or discretization… read more here.
Keywords: order; numerical solutions; fractional order; numerical method ... See more keywords
Modeling of uncertainty for flood wave propagation induced by variations in initial and boundary conditions using expectation operator on explicit numerical solutions
Sign Up to like & getrecommendations! Published in 2018 at "International Journal for Numerical Methods in Engineering"
DOI: 10.1002/nme.5702
Abstract: This study proposes a framework for uncertainty analysis by incorporating explicit numerical solutions of governing equations for flood wave propagation with the expectation operator. It aims at effectively evaluating the effect of variations in initial… read more here.
Keywords: explicit numerical; uncertainty; initial boundary; numerical solutions ... See more keywords
Analytical amplitudes from numerical solutions of the scattering equations
Sign Up to like & getrecommendations! Published in 2020 at "Journal of High Energy Physics"
DOI: 10.1007/jhep02(2020)194
Abstract: The CHY formalism for massless scattering provides a cohesive framework for the computation of scattering amplitudes in a variety of theories. It is especially compelling because it elucidates existing relations among theories which are seemingly… read more here.
Keywords: scattering equations; gravity; analytical amplitudes; solutions scattering ... See more keywords
The truncated Euler–Maruyama method for stochastic differential delay equations
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DOI: 10.1007/s11075-017-0391-0
Abstract: The numerical solutions of stochastic differential delay equations (SDDEs) under the generalized Khasminskii-type condition were discussed by Mao (Appl. Math. Comput. 217, 5512–5524 2011), and the theory there showed that the Euler–Maruyama (EM) numerical solutions… read more here.
Keywords: numerical solutions; stochastic differential; euler maruyama; differential delay ... See more keywords
Numerical solutions of fractional delay differential equations using Chebyshev wavelet method
Sign Up to like & getrecommendations! Published in 2019 at "Computational and Applied Mathematics"
DOI: 10.1007/s40314-019-0953-y
Abstract: In the present research article, we used a new numerical technique called Chebyshev wavelet method for the numerical solutions of fractional delay differential equations. The Caputo operator is used to define fractional derivatives. The numerical… read more here.
Keywords: method numerical; solutions fractional; chebyshev wavelet; wavelet method ... See more keywords
Improving the precision of discrete numerical solutions using the generalized integral transform technique
Sign Up to like & getrecommendations! Published in 2020 at "Journal of the Brazilian Society of Mechanical Sciences and Engineering"
DOI: 10.1007/s40430-020-02346-x
Abstract: Most spatial discretizations applied by finite difference and volume methods to advective/convective terms introduce significant diffusive and dispersive numerical errors, where the former is often required to improve the numerical stability to the resulting scheme.… read more here.
Keywords: numerical solutions; discrete numerical; transform technique; integral transform ... See more keywords
Analytical and numerical solutions to some one-dimensional relativistic heat equations
Sign Up to like & getrecommendations! Published in 2017 at "Applied Mathematical Modelling"
DOI: 10.1016/j.apm.2017.01.059
Abstract: Abstract Analytical and numerical solutions to a family of one-dimensional (nonlinear) relativistic heat equations in finite domains are presented. The analytical solutions correspond to steady state conditions in the absence of source terms and have… read more here.
Keywords: temperature; source; numerical solutions; analytical numerical ... See more keywords
A direct Chebyshev collocation method for the numerical solutions of three-dimensional Helmholtz-type equations
Sign Up to like & getrecommendations! Published in 2019 at "Engineering Analysis with Boundary Elements"
DOI: 10.1016/j.enganabound.2019.03.023
Abstract: Abstract In this study, a new framework for the numerical solutions of inhomogeneous Helmholtz-type equations on three-dimensional (3D) arbitrary domains is presented. A Chebyshev collocation scheme (CCS) is introduced for the efficient and accurate approximation… read more here.
Keywords: chebyshev collocation; type equations; helmholtz type; type ... See more keywords
Analytical and numerical solutions to the amplifier with incoherent pulse temporal overlap
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DOI: 10.1016/j.optcom.2016.07.047
Abstract: Abstract Serious pulse temporal overlap in amplifiers would result in the decrease of energy extraction efficiency and the increase of pulse-shape distortion (PSD). Precisely predicting pulse temporal overlap is of significance to an effective amplifier… read more here.
Keywords: energy; overlap; temporal overlap; numerical solutions ... See more keywords
Approximate Numerical solutions for the nonlinear dispersive shallow water waves as the Fornberg–Whitham model equations
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DOI: 10.1016/j.rinp.2021.103907
Abstract: Abstract The nonlinear partial differential equations having travelling or solitary wave solutions is numerically challenging, in which one of the important type is the Fornberg–Whitham model equation. This article aims to solve the Fornberg–Whitham type… read more here.
Keywords: whitham model; fornberg whitham; method; approximate numerical ... See more keywords
Existence theory and numerical solutions to smoking model under Caputo-Fabrizio fractional derivative.
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DOI: 10.1063/1.5079644
Abstract: In this paper, taking fractional derivative due to Caputo and Fabrizo, we have investigated a biological model of smoking type. By using Sumudu transform and Picard successive iterative technique, we develop the iterative solutions for… read more here.
Keywords: caputo; numerical solutions; fractional derivative; model ... See more keywords