A local meshless method for the numerical solution of space‐dependent inverse heat problems
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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
Numerical solution of Volterra–Fredholm integral equations with Hosoya polynomials
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DOI: 10.1002/mma.7479
Abstract: In this study, Volterra–Fredholm integral equation is solved by Hosoya polynomials. The solutions obtained with these methods were compared on the figure and table. And error analysis was done. MATLAB programming language has been used… read more here.
Keywords: hosoya polynomials; volterra fredholm; solution volterra; numerical solution ... See more keywords
The numerical solution of two-dimensional logarithmic integral equations on normal domains using radial basis functions with polynomial precision
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DOI: 10.1007/s00366-017-0502-5
Abstract: The main purpose of this article is to investigate the numerical solution of two-dimensional Fredholm integral equations of the second kind on normal domains, whose kernels have logarithmic singularity. Radial basis functions constructed on scattered… read more here.
Keywords: solution two; normal domains; numerical solution; basis ... See more keywords
A simple algorithm for numerical solution of nonlinear parabolic partial differential equations
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DOI: 10.1007/s00366-019-00796-z
Abstract: In this paper, numerical solution of nonlinear two-dimensional parabolic partial differential equations with initial and Dirichlet boundary conditions is considered. The time derivative is approximated using finite difference scheme whereas space derivatives are approximated using… read more here.
Keywords: partial differential; numerical solution; solution nonlinear; method ... See more keywords
Numerical solution of integrodifferential equations with convolution integrals
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DOI: 10.1007/s00419-019-01557-6
Abstract: A numerical solution is presented for the solution of integrodifferential equations involving convolution integrals. These equations can be viewed as a generalization of the fractional differential equations, where the convolution integral represents the fractional derivative.… read more here.
Keywords: integrodifferential equations; solution integrodifferential; convolution integrals; equation ... See more keywords
Highly accurate numerical solution of Hartree–Fock equation with pseudospectral method for closed-shell atoms
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DOI: 10.1007/s10910-020-01144-z
Abstract: The Hartree–Fock (HF) equation for atoms with closed (sub)shells is transformed with the pseudospectral (PS) method into a discrete eigenvalue equation for scaled orbitals on a finite radial grid. The Fock exchange operator and the… read more here.
Keywords: pseudospectral method; numerical solution; fock; equation ... See more keywords
Numerical Solution of Monge–Kantorovich Equations via a Dynamic Formulation
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DOI: 10.1007/s10915-020-01170-8
Abstract: We extend our previous work on a biologically inspired dynamic Monge–Kantorovich model (Facca et al. in SIAM J Appl Math 78:651–676, 2018) and propose it as an effective tool for the numerical solution of the $$L^{1}$$… read more here.
Keywords: numerical solution; equations via; monge; kantorovich equations ... See more keywords
On Numerical Solution of Singularly Perturbed Optimal Control Problems
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DOI: 10.1007/s10957-017-1138-8
Abstract: We study singularly perturbed optimal control problems in which optimal controls may take the form of rapidly oscillating functions. Such rapidly oscillating controls can be constructed on the basis of solutions of certain approximating averaged… read more here.
Keywords: singularly perturbed; numerical solution; control problems; perturbed optimal ... See more keywords
On the Numerical Solution of Differential Linear Matrix Inequalities
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DOI: 10.1007/s10957-020-01650-9
Abstract: This paper presents a novel approach for the numerical solution of differential linear matrix inequalities. The solutions are searched in the class of piecewise-quadratic functions with symmetric matrix coefficients to be determined. To limit the… read more here.
Keywords: numerical solution; matrix inequalities; matrix; linear matrix ... See more keywords
An improved optimal trigonometric ELM algorithm for numerical solution to ruin probability of Erlang(2) risk model
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DOI: 10.1007/s11042-020-09382-8
Abstract: In this paper, we focus on accurately calculating the numerical solution of the integral-differential equation for ruin probability in Erlang(2) renewal risk model with arbitrary claim distribution. Because the analytical solutions of the equation do… read more here.
Keywords: numerical solution; model; solution; ruin probability ... See more keywords
A probabilistic model for the numerical solution of initial value problems
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DOI: 10.1007/s11222-017-9798-7
Abstract: We study connections between ordinary differential equation (ODE) solvers and probabilistic regression methods in statistics. We provide a new view of probabilistic ODE solvers as active inference agents operating on stochastic differential equation models that… read more here.
Keywords: model numerical; numerical solution; value; initial value ... See more keywords