Search Results - Numerical computation of solutions to systems of equations
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1
Applied Numerical Methods Using MATLAB
ISBN: 9781683928683, 1683928687Published: Berlin Mercury Learning & Information 2023“…The book is designed to cover all major aspects of applied numerical methods, including numerical computations, solution of algebraic and transcendental equations, finite differences and interpolation…”
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2
An efficient multi-step iterative method for computing the numerical solution of systems of nonlinear equations associated with ODEs
ISSN: 0096-3003, 1873-5649, 1873-5649Published: Elsevier Inc 01.01.2015Published in Applied mathematics and computation (01.01.2015)“…We developed multi-step iterative method for computing the numerical solution of nonlinear systems, associated with ordinary differential equations (ODEs) of the form L(x(t))+f(x(t))=g(t): here L…”
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3
Numerical solutions for systems of fractional differential equations by the decomposition method
ISSN: 0096-3003, 1873-5649Published: New York, NY Elsevier Inc 25.03.2005Published in Applied mathematics and computation (25.03.2005)“…In this paper we use Adomian decomposition method to solve systems of nonlinear fractional differential equations and a linear multi-term fractional differential equation by reducing it to a system…”
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4
Legendre wavelets operational method for the numerical solutions of nonlinear Volterra integro-differential equations system
ISSN: 0096-3003, 1873-5649Published: Elsevier Inc 01.04.2015Published in Applied mathematics and computation (01.04.2015)“…In this paper, Legendre wavelet method is developed to approximate the solutions of system of nonlinear Volterra integro-differential equations…”
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5
Numerical solution of integral equations system of the second kind by Block–Pulse functions
ISSN: 0096-3003, 1873-5649Published: New York, NY Elsevier Inc 06.07.2005Published in Applied mathematics and computation (06.07.2005)“…This paper endeavors to formulate Block–Pulse functions to propose solutions for the Fredholm integral equations system…”
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6
Solution of Coupled Systems of Reaction–Diffusion Equations Using Explicit Numerical Methods with Outstanding Stability Properties
ISSN: 2079-3197, 2079-3197Published: Basel MDPI AG 01.06.2025Published in Computation (01.06.2025)“…Recently, new and nontrivial analytical solutions that contain the Kummer functions have been found for an equation system of two diffusion–reaction equations…”
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7
Numerical solution for high order differential equations using a hybrid neural network—Optimization method
ISSN: 0096-3003, 1873-5649Published: New York, NY Elsevier Inc 01.12.2006Published in Applied mathematics and computation (01.12.2006)“… This means that we propose a new solution method for the approximated solution of high order ordinary differential equations using innovative mathematical tools and neural-like systems of computation…”
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8
Hybrid Legendre Block-Pulse functions for the numerical solutions of system of nonlinear Fredholm–Hammerstein integral equations
ISSN: 0096-3003, 1873-5649Published: Elsevier Inc 01.11.2015Published in Applied mathematics and computation (01.11.2015)“…In this paper, the numerical technique based on hybrid Legendre-Block-Pulse function has been developed to approximate the solution of system of nonlinear Fredholm…”
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9
Numerical Methods Fundamentals
ISBN: 1683928717, 9781683928713Published: Herndon, VA Mercury Learning & Information 2023“…The book is designed to cover all major aspects of applied numerical methods, including numerical computations, solution of algebraic and transcendental equations, finite differences and interpolation…”
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10
Dual solutions for MHD hybrid nanofluid stagnation point flow due to a radially shrinking disk with convective boundary condition
ISSN: 0961-5539, 1758-6585, 0961-5539Published: Bradford Emerald Publishing Limited 05.01.2023Published in International journal of numerical methods for heat & fluid flow (05.01.2023)“… A built-in bvp4c solver in MATLAB is then used in the computation of the numerical solutions for equations (7) and (8…”
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11
A numerical solution for solving system of Fredholm integral equations by using homotopy perturbation method
ISSN: 0096-3003, 1873-5649Published: New York, NY Elsevier Inc 15.06.2007Published in Applied mathematics and computation (15.06.2007)“…Homotopy perturbation method is applied to the numerical solution for solving system of Fredholm integral equations…”
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12
Numerical solution of systems of fractional delay differential equations using a new kind of wavelet basis
ISSN: 0101-8205, 2238-3603, 1807-0302Published: Cham Springer International Publishing 01.09.2018Published in Computational & applied mathematics (01.09.2018)“… Then, these operational matrices along with the Galerkin approach have been implemented to solve systems of fractional delay differential equations (SFDDEs…”
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13
Numerical solution of linear Volterra integral equations system of the second kind
ISSN: 0096-3003, 1873-5649Published: New York, NY Elsevier Inc 15.07.2008Published in Applied mathematics and computation (15.07.2008)“… In this paper, we have presented a method for numerical solution of linear Volterra integral equations system based on the power series method, the major advantage of which is being derivative-free…”
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A Proof that Artificial Neural Networks Overcome the Curse of Dimensionality in the Numerical Approximation of Black–Scholes Partial Differential Equations
ISBN: 147045632X, 9781470456320ISSN: 0065-9266, 1947-6221Published: Providence, Rhode Island American Mathematical Society 2023“… intelligence, and computational advertising to numerical approximations of partial differential equations (PDEs…”
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15
A Chebyshev spectral collocation method for solving Burgers’-type equations
ISSN: 0377-0427, 1879-1778Published: Kidlington Elsevier B.V 15.12.2008Published in Journal of computational and applied mathematics (15.12.2008)“…’ and system of 2D Burgers’ equations are obtained. The numerical results are found to be in good agreement with the exact solutions…”
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16
Semi-analytical computation of Laplacian Green functions in three-dimensional domains with disconnected spherical boundaries
ISSN: 0021-9991, 1090-2716Published: Cambridge Elsevier Inc 15.02.2019Published in Journal of computational physics (15.02.2019)“… of partial solutions whose coefficients are fixed by boundary conditions. Although the numerical computation of the coefficients involves series truncation and solution…”
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17
Numerical computation of formal solutions to interval linear systems of equations
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 15.03.2019Published in arXiv.org (15.03.2019)“…The work is devoted to the development of numerical methods for computing "formal solutions" of interval systems of linear algebraic equations…”
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Paper -
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Numerical solution of systems of Cauchy singular integral equations with constant coefficients
ISSN: 0096-3003, 1873-5649Published: Elsevier Inc 01.11.2012Published in Applied mathematics and computation (01.11.2012)“…This paper deals with the numerical solution of a class of systems of Cauchy singular integral equations with constant coefficients…”
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19
Analog Solutions of Systems of Linear Equations on a Configurable Platform
ISBN: 9781728133201, 1728133203ISSN: 2158-1525Published: IEEE 01.10.2020Published in IEEE International Symposium on Circuits and Systems proceedings (01.10.2020)“… Digital systems rely on solving linear equations as the fundamental numerical computation…”
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Conference Proceeding -
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Application of the automatic code generation and symbolic computation techniques to numerical solution of PDE problems
ISSN: 1742-6588, 1742-6596Published: Bristol IOP Publishing 01.07.2022Published in Journal of physics. Conference series (01.07.2022)“…A software package for the numerical solution of systems of linear and nonlinear partial differential equations by grid methods is presented, which combines symbolic computations and automatic code generation techniques…”
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