Computed chaos or numerical errors
Nonlinear Analysis, 2010 Discrete numerical methods with finite time-steps represent a practical technique to solve initial-value problems involving nonlinear differential equations.
L.-S. Yao
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Convergence rate of numerical solutions to SFDEs with jumps [PDF]
, 2011 In this paper, we are interested in numerical solutions of stochastic functional differential equations with jumps. Under a global Lipschitz condition, we show that the pth-moment convergence of Euler–Maruyama numerical solutions to stochastic functional
Yuan, Chenggui +7 more
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The numerical solution of forward–backward differential equations: Decomposition and related issues [PDF]
, 2010 NOTICE: this is the author’s version of a work that was accepted for publication in Journal of Computational and Applied Mathematics. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and ...
Ford, Neville J. +3 more
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A numerical evaluation of solvers for the periodic Riccati differential equation [PDF]
, 2009 Efficient and accurate structure exploiting numerical methods for solving the periodic Riccati differential equation (PRDE) are addressed. Such methods are essential, for example, to design periodic feedback controllers for periodic control systems ...
Andras Varga +14 more
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Designing a Bayesian Regularization Approach to Solve the Fractional Layla and Majnun System
Mathematics, 2023 The present work provides the numerical solutions of the mathematical model based on the fractional-order Layla and Majnun model (MFLMM). A soft computing stochastic-based Bayesian regularization neural network approach (BRNNA) is provided to investigate
Zulqurnain Sabir +3 more
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Numerical solutions of Cauchy integral equations and applications [PDF]
, 1987 This thesis investigates the polynomial collocation method for the numerical solution of Cauchy type integral equations and the use of those equations and the related numerical techniques to solve two practical problem in Acoustics and Aerodynamics ...
Cuminato, José Alberto. +1 more
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High-Performance Computational Method for an Extended Three-Coupled Korteweg–de Vries System
Axioms, 2023 This paper calculates numerical solutions of an extended three-coupled Korteweg–de Vries system by the q-homotopy analysis transformation method (q-HATM), which is a hybrid of the Laplace transform and the q-homotopy analysis method.
Panpan Wang, Xiufang Feng
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Blow-up behavior of collocation solutions to Hammerstein-type volterra integral equations [PDF]
, 2013 We analyze the blow-up behavior of one-parameter collocation solutions for Hammerstein-type Volterra integral equations (VIEs) whose solutions may blow up in finite time.
Brunner, Hermann, Yang, Z.W.
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Consistency of a method of moments estimator based on numerical solutions to asset pricing models [PDF]
, 1993 This paper considers the properties of estimators based on numerical solutions to a class of economic models. In particular, the numerical methods discussed are those applied in the solution of linear integral equations, specifically Fredholm equations ...
Burnside, C., Craig Burnside, A
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Chebyshev Collocation Method for the Fractional Fredholm Integro-Differential Equations
Journal of New Theory, 2023 In this study, Chebyshev polynomials have been applied to construct an approximation method to attain the solutions of the linear fractional Fredholm integro-differential equations (IDEs).
Dilek Varol
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