Results 1 to 10 of about 283,093 (291)
Rational Approximation Method for Stiff Initial Value Problems
Mathematics, 2021 While purely numerical methods for solving ordinary differential equations (ODE), e.g., Runge–Kutta methods, are easy to implement, solvers that utilize analytical derivations of the right-hand side of the ODE, such as the Taylor series method ...
Artur Karimov +3 more
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Enhancing Accuracy of Runge–Kutta-Type Collocation Methods for Solving ODEs
Mathematics, 2021 In this paper, a new class of Runge–Kutta-type collocation methods for the numerical integration of ordinary differential equations (ODEs) is presented. Its derivation is based on the integral form of the differential equation.
Janez Urevc, Miroslav Halilovič
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Two-stage single ROW methods with complex coefficients for autonomous systems of ODE [PDF]
Компьютерные исследования и моделирование, 2010 The basic subset of two-stage Rosenbrock schemes with complex coefficients for numerical solution of autonomous systems of ordinary differential equations (ODE) has been considered. Numerical realization of such schemes requires one LU-decomposition, two
Petr Dmitrievich Shirkov +1 more
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Stiff systems of ordinary differential equations. III. Partially stiff systems [PDF]
The Journal of the Australian Mathematical Society. Series B. Applied Mathematics, 1982 AbstractThe partially stiff system of ordinary differential equationsis studied by the methods developed in the earlier papers in this series. Here e is a small positive parameter, x and y are n- and m-vectors respectively, and A is nonsingular. A useful basis for the solution space of the homogeneous system is constructed and the method of variation ...
Mahony, J. J., Shepherd, J. J.
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Solutions of Stiff Systems of Ordinary Differential Equations Using Residual Power Series Method
Journal of Mathematics, 2022 The stiff differential equations occur in almost every field of science. These systems encounter in mathematical biology, chemical reactions and diffusion process, electrical circuits, meteorology, mechanics, and vibrations. Analyzing and predicting such
Mubashir Qayyum, Qursam Fatima
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Optimizing the Coefficients of Numerical Differentiation Formulae Using Neural Networks
IEEE Access, 2021 The use of a numerical differentiation formula (NDF) is an excellent method for solving stiff ordinary differential equations. However, the NDF method cannot fully adapt to all stiff systems.
Xinyu Yang +3 more
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Runge-Kutta Methods of Higher Order for Solving Stiff Problems [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2008 Our purpose in this research is the development of higher order Runge-Kutta methods for solving stiff systems. We have developed methods of order five, six, and seven. We studied their stability Region and applications for solving stiff systems.
Mohammed Salih, Basheer Salih
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A Portable Stiffness Measurement System [PDF]
Sensors, 2017 A new stiffness measurement method is proposed that utilizes the lateral deformation profile of an object under indentation. The system consists of a force measurement module between a pair of equidistant touch sensing modules. Unique feature of the method is that by adjusting the touch module separation, indenter protrusion, and spring constant of the
Onejae Sul, Eunsuk Choi, Seung-Beck Lee
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The Numerical Solution of Differential and Differential-Algebraic Systems [PDF]
Modeling, Identification and Control, 1985 Systems of ordinary differential equations (ODE) or ordinary differential/algebraic equations (DAE) are well-known mathematical models. The numerical solution of such systems are discussed. For (ODE) we mention some available codes and stress the need of
Syvert P. Nørsett
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Mendel, 2022 This paper examines the implementation of simple combination mutation of differential evolution algorithm for solving stiff ordinary differential equations.
Werry Febrianti +2 more
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