A local meshless method for the numerical solution of space‐dependent inverse heat problems
Sign Up to like & getrecommendations! Published in 2020 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.6439
Abstract: In this paper, a local radial basis function collocation method is proposed for the numerical solution of inverse space‐wise dependent heat source problems. Multiquadric radial basis function is used for spatial discretization. The method accuracy… read more here.
Keywords: numerical solution; method numerical; method; space ... See more keywords
Rothe method and numerical analysis for history-dependent hemivariational inequalities with applications to contact mechanics
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DOI: 10.1007/s11075-019-00667-0
Abstract: In this paper, an abstract evolutionary hemivariational inequality with a history-dependent operator is studied. First, a result on its unique solvability and solution regularity is proved by applying the Rothe method. Next, we introduce a… read more here.
Keywords: method numerical; history dependent; numerical analysis; rothe method ... See more keywords
Method for Numerical Solution of the Stationary Schrödinger Equation
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DOI: 10.1007/s11182-017-0953-6
Abstract: The aim of this work is to describe a method of numerical solution of the stationary Schrödinger equation based on the integral equation that is identical to the Schrödinger equation. The method considered here allows… read more here.
Keywords: method numerical; equation; dinger equation; schr dinger ... See more keywords
Numerical solutions of fractional delay differential equations using Chebyshev wavelet method
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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
Optimization and application of sensitivity-based spatial discrete method for numerical solution of transient flow and heat transfer
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DOI: 10.1080/10407790.2019.1627827
Abstract: Abstract In this article, we start with the spatial dispersion difficulty encountered in the solution of physical phenomena controlled by partial differential equations. The one-dimensional diffusion phenomenon is taken as the research object, and the… read more here.
Keywords: method numerical; spatial discrete; method; sensitivity ... See more keywords
Basis function method for numerical loop quantum cosmology: the Schwarzschild black hole interior
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DOI: 10.1088/1361-6382/ab514c
Abstract: Loop quantum cosmology is a symmetry-reduced application of loop quantum gravity that has led to the resolution of classical singularities such as the big bang, and those at the center of black holes. This can… read more here.
Keywords: method numerical; quantum; cosmology; quantum cosmology ... See more keywords
A no-boundary method for numerical relativity
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DOI: 10.1088/1361-6382/ab5e99
Abstract: We propose a method for numerical relativity in which the spatial grid is finite and no outer boundary condition is needed. As a "proof of concept" we implement this method for the case of a… read more here.
Keywords: boundary method; numerical relativity; method numerical;
A phase field method for the numerical simulation of rigid particulate in two-phase flows
Sign Up to like & getrecommendations! Published in 2020 at "Fluid Dynamics Research"
DOI: 10.1088/1873-7005/ab6aac
Abstract: In this paper, we propose a phase field method for the numerical simulations of a moving solid object in two-phase flows. A three-phase Cahn-Hilliard and Navier-Stokes model is employed for this problem. The solid region… read more here.
Keywords: phase; method numerical; two phase; phase field ... See more keywords
An Efficient Method for Numerical Solutions of Distributed-Order Fractional Differential Equations
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DOI: 10.1115/1.4040951
Abstract: This paper presents an efficient numerical method for solving the distributed fractional differential equations (FDEs). The suggested framework is based on a hybrid of block-pulse functions and Taylor polynomials. For the first time, the Riemann–Liouville… read more here.
Keywords: solutions distributed; method numerical; efficient method; numerical solutions ... See more keywords
Modified iteration method for numerical solution of nonlinear differential equations arising in science and engineering
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DOI: 10.1142/s1793557121501515
Abstract: In this paper, a modified iteration method (MIM) has been proposed to solve nonlinear second-order ODEs. Convergence analysis and error estimate of the proposed method are also discussed. Computational efficiency of this method is illustrated… read more here.
Keywords: method numerical; iteration method; modified iteration; numerical solution ... See more keywords
Numerical Analysis of Double Integral of Trigonometric Function Using Romberg Method
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DOI: 10.26858/jdm.v8i2.14101
Abstract: In general, solving the two-fold integral of trigonometric functions is not easy to do analytically. Therefore, we need a numerical method to get the solution. Numerical methods can only provide solutions that approach true value.… read more here.
Keywords: method numerical; integral trigonometric; numerical analysis; method ... See more keywords