Results 11 to 20 of about 11,667 (313)
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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Reduced Collocation Methods: Reduced Basis Methods in the Collocation Framework [PDF]
Journal of Scientific Computing, 2012 In this paper, we present the first reduced basis method well-suited for the collocation framework. Two fundamentally different algorithms are presented: the so-called Least Squares Reduced Collocation Method (LSRCM) and Empirical Reduced Collocation Method (ERCM). This work provides a reduced basis strategy to practitioners who {prefer} a collocation,
Chen, Yanlai, Gottlieb, Sigal
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Spectral collocation methods [PDF]
Applied Numerical Mathematics, 1989 This is a survey article on the application of spectral collocation methods to the solution of partial differential equations. For the most part, the basis functions used are either trigonometric or Chebyshev polynomials, although there is some discussion of Legendre polynomials.
Hussaini, M. Y. +2 more
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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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Collocation Methods for Volterra Integral and Integro-Differential Equations: A Review
Axioms, 2018 We present a collection of recent results on the numerical approximation of Volterra integral equations and integro-differential equations by means of collocation type methods, which are able to provide better balances between accuracy and stability ...
Angelamaria Cardone +3 more
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Approximations to linear Klein–Gordon Equations using Haar wavelet
Ain Shams Engineering Journal, 2021 In this research article, two Haar wavelet collocation methods (HWCMs) (namely one dimensional HWCM and two dimensional HWCM) are adapted to approximate linear homogeneous and linear non-homogeneous Klein–Gordon equations.
Sana Ikram +2 more
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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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A High-Efficiency Spectral Method for Two-Dimensional Ocean Acoustic Propagation Calculations
Entropy, 2021 The accuracy and efficiency of sound field calculations highly concern issues of hydroacoustics. Recently, one-dimensional spectral methods have shown high-precision characteristics when solving the sound field but can solve only simplified models of ...
Xian Ma +5 more
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Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2023 A large variety of new methods are being developed for fast and efficient solutions of nonlinear boundary value problems. Some of these methods are, Adomian decomposition (ADM), differential transform (DTM), least squares vector machines (LSSVMM), and ...
Hasan Ömür Özer +3 more
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