Search Results - Numerical solutions to equations with linear operators

Numerical solution of linear and nonlinear partial differential equations using the peridynamic differential operator by Madenci, Erdogan, Dorduncu, Mehmet, Barut, Atila, Futch, Michael

“…This study presents numerical solutions to linear and nonlinear Partial Differential Equations (PDEs…”
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On the a posteriori estimates for inverse operators of linear parabolic equations with applications to the numerical enclosure of solutions for nonlinear problems by Kinoshita, Takehiko, Kimura, Takuma, Nakao, Mitsuhiro T.

“… Our estimation technique uses a full-discrete numerical scheme, which is based on the Galerkin method with an interpolation in time by using the fundamental solution for semidiscretization in space…”
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Computation of the spectra of some integral operators and application to the numerical solution of some linear integral equations by Aouicha, Hichem Ben

“… † the normal solution of the minimal L 2-norm of the integral equation of the first kind Af = g, which is often an ill-posed equation…”
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A STABLE METHOD FOR LINEAR EQUATION IN BANACH SPACES WITH SMOOTH NORMS by Dryazhenkov, Andrey A., Potapov, Mikhail M.

“…A stable method for numerical solution of a linear operator equation in reflexive Banach spaces is proposed…”
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On the solution of hyperbolic equations using the peridynamic differential operator by Bekar, Ali Can, Madenci, Erdogan, Haghighat, Ehsan

“… This study presents a generalized upwind scheme, referred to as directional nonlocality, for the numerical solution of linear and nonlinear hyperbolic Partial Differential Equations (PDEs…”
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Moments of a linear operator, with applications to the trace of the inverse of matrices and the solution of equations by Brezinski, Claude, Fika, Paraskevi, Mitrouli, Marilena

“…SUMMARY Let H be a real finite dimensional Hilbert space and A an invertible linear operator…”
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Novel numerical solution to the fractional neutron point kinetic equation in nuclear reactor dynamics by Polo-Labarrios, M.A., Quezada-García, S., Espinosa-Paredes, G., Franco-Pérez, L., Ortiz-Villafuerte, J.

“… The method is based on a numerical solution to linear multi-term fractional differential equations taking from scientific literature…”
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On convergence of a three‐layer semi‐discrete scheme for the non‐linear dynamic string equation of Kirchhoff‐type with time‐dependent coefficients by Rogava, Jemal, Vashakidze, Zurab

“…‐linear term is evaluated at the middle node point. This approach enables the numerical solutions per temporal step to be obtained by inverting the linear operators, yielding a system of second…”
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Linear operator equations: approximation and regularization by Nair, M. Thamban

“…=y, where T is a linear or nonlinear operator between certain function spaces. In practice, such equations are solved approximately using numerical methods…”
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Numerical solution of linear transport equations with scattering operators of integral and differential type by Phillips, Kevin Gregory

“…We revisit the PN-method and demonstrate its ability to provide accurate and timely solutions to transport equations with scattering operators whose only restriction is having spherical harmonics as eigenfunctions…”
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The solution of nonlinear direct and inverse problems for beam by means of the Trefftz functions by Maciag, Artur, Pawinska, Anna

“… Those equations can be solved by a number of numerical methods, but not all are efficient. The paper presents an approximate solution of the nonlinear problems for beam vibrations…”
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Sensitivity Operator Framework for Analyzing Heterogeneous Air Quality Monitoring Systems by Penenko, Alexey, Penenko, Vladimir, Tsvetova, Elena, Gochakov, Alexander, Pyanova, Elza, Konopleva, Viktoriia

“… In the considered inverse modeling approach, a source identification problem is transformed to a quasi-linear operator equation with the sensitivity operator…”
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Morrey Spaces: Introduction and Applications to Integral Operators and PDE's, Volume I by Sawano, Yoshihiro

“…Morrey spaces were introduced by Charles Morrey to investigate the local behaviour of solutions to second order elliptic partial differential equations…”
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Numerical solution of fractional integro-differential equations with non-local conditions using reproducing kernel method based on Chebyshev polynomials by Saldır, Onur

“… equations with non-local conditions. One of the important steps of this method is the selection of a linear operator, and the selected linear operator consists of the fractional order derivative term of the considered problem…”
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A novel iterative solution for time-fractional Boussinesq equation by reproducing kernel method by Sakar, Mehmet Giyas, Saldır, Onur

“…In this study, iterative reproducing kernel method (RKM) will be applied in order to observe the effect of the method on numerical solutions of fractional order Boussinesq equation…”
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Time evolution of the first‐order linear acoustic/elastic wave equation using Lie product formula and Taylor expansion by Araujo, Edvaldo S., Pestana, Reynam C.

“… This numerical solution is based on the analytic solution of the linear acoustic/elastic wave equation and uses the Lie product formula, where the time evolution operator of the analytic solution…”
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Predictor–corrector for non-linear differential and integral equation with fractal–fractional operators by Mekkaoui, Toufik, Atangana, Abdon, Araz, Seda İğret

“… In this paper, we extend the method of predictor–corrector to obtain numerical solution of non-linear differential and integral equations…”
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Singly TASE Operators for the Numerical Solution of Stiff Differential Equations by Explicit Runge–Kutta Schemes by Calvo, Manuel, Fu, Lin, Montijano, Juan I., Rández, Luis

“…In this paper new explicit integrators for numerical solution of stiff evolution equations are proposed…”
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Regularization algorithms for ill-posed problems by Bakushinsky, Anatoly B, Kokurin, Mikhail M, Kokurin, Mikhail Yu

“…The Inverse and Ill-Posed Problems Series is a series of monographs publishing postgraduate level information on inverse and ill-posed problems for an…”
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Approximation of eigenvalues of evolution operators for linear coupled renewal and retarded functional differential equations by Breda, Dimitri, Liessi, Davide

“… the eigenvalues of the evolution operators of linear coupled equations, providing rigorous error and convergence…”
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