Generalized fractional differential equations for past dynamic
AIMS Mathematics, 2022 Well-posedness of the terminal value problem for nonlinear systems of generalized fractional differential equations is studied. The generalized fractional operator is formulated with a classical operator and a related weighted space.
Dumitru Baleanu, Babak Shiri
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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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Noticing Collocation in Reading: A Multi-Case Study of Five Chinese EFL Learners [PDF]
International Journal of TESOL Studies, 2021 This study examines five Chinese EFL learners in a language institution regarding the effects of collocation noticing instructions in reading classes in terms of collocation competence and attitudes towards the noticing instructions.
Miaomiao Sun
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A Chebyshev-Gauss collocation method for the numerical solution of ordinary differential equations [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2017 This paper presents a Chebyshev-Gauss collocation method to determine an approximate solution to the initial value problems of ordinary differential equations.
Kanyakorn Cheuprasert, Nairat Kanyamee
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Appell Type Changhee Polynomials Operational Matrix of Fractional Derivatives and its Applications
Eurasian Journal of Science and Engineering, 2022 In this paper, a fractional order differential equation (FDEs), will be solved numerically through a new approximative technique based on Appell type Changhee polynomials.
Abdulnasir Isah
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Non‐Stationary Probabilistic Tsunami Hazard Assessments Compounding Tides and Sea Level Rise
Earth's Future, 2022 Tides are often the largest source of sea levels fluctuations. Two new probabilistic tsunami hazard assessments (PTHA) methods are proposed to combine the tidal phase uncertainty at the moment of tsunami occurrence with other sources of uncertainty.
Ignacio Sepúlveda +4 more
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Multivalue Collocation Methods for Ordinary and Fractional Differential Equations
Mathematics, 2022 The present paper illustrates some classes of multivalue methods for the numerical solution of ordinary and fractional differential equations. In particular, it focuses on two-step and mixed collocation methods, Nordsieck GLM collocation methods for ...
Angelamaria Cardone +3 more
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Efficient Entropy Stable Gauss Collocation Methods [PDF]
SIAM Journal on Scientific Computing, 2018 The construction of high order entropy stable collocation schemes on quadrilateral and hexahedral elements has relied on the use of Gauss-Legendre-Lobatto collocation points and their equivalence with summation-by-parts (SBP) finite difference operators.
Jesse Chan +2 more
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Hermite spectral collocation methods for fractional PDEs in unbounded domains [PDF]
, 2018 This work is concerned with spectral collocation methods for fractional PDEs in unbounded domains. The method consists of expanding the solution with proper global basis functions and imposing collocation conditions on the Gauss-Hermite points.
T. Tang, Huifang Yuan, Tao Zhou
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Dynamic Optimization Using Local Collocation Methods and Improved Multiresolution Technique
Applied Sciences, 2018 Dynamic optimization has wide applications in scientific and industrial researches. Multiresolution techniques provide an efficient way to solve dynamic optimization problems but have some disadvantages. An improved multiresolution technique is developed
Jisong Zhao, Teng Shang
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