The Leading Role of Atomic Oxygen in the Collocation of Elves and Hydroxyl Nightglow in the Low-Latitude Mesosphere
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Geophysical Research"
DOI: 10.1002/2016ja023681
Abstract: The elve is the dominant type of transient luminous event (TLE) at the base of the E region ionosphere. The hydroxyl nightglow (OH* nightglow hereafter) has been reported at a similar altitude. Statistical studies show… read more here.
Keywords: low latitude; collocation elves; collocation; hydroxyl nightglow ... See more keywords
A mixed DOF collocation method for elastic problems in heterogeneous structure
Sign Up to like & getrecommendations! Published in 2019 at "International Journal for Numerical Methods in Engineering"
DOI: 10.1002/nme.6087
Abstract: In this paper, a collocation method with mixed degrees of freedom (DOFs) is proposed for heterogeneous structures. Local tractions of the outer and interface boundaries are introduced as DOFs in the mixed collocation scheme. Then,… read more here.
Keywords: collocation; stiffness matrix; heterogeneous structure; collocation method ... See more keywords
An Improved Extrapolated Collocation Technique for Singularly Perturbed Problems using Cubic B-Spline Functions
Sign Up to like & getrecommendations! Published in 2021 at "Mediterranean Journal of Mathematics"
DOI: 10.1007/s00009-021-01738-0
Abstract: In this paper, an improved extrapolated collocation method with cubic B-spline as basis functions is presented. This method is applied to a class of self-adjoint singularly perturbed boundary value problems, with the equispaced discretization of… read more here.
Keywords: cubic spline; extrapolated collocation; singularly perturbed; collocation ... See more keywords
Chebyshev–Gauss–Lobatto collocation method for variable-order time fractional generalized Hirota–Satsuma coupled KdV system
Sign Up to like & getrecommendations! Published in 2020 at "Engineering with Computers"
DOI: 10.1007/s00366-020-01125-5
Abstract: In this paper, the Chebyshev–Gauss–Lobatto collocation method is developed for studying the variable-order (VO) time fractional model of the generalized Hirota–Satsuma coupled KdV system arising in interaction of long waves. To define this new system,… read more here.
Keywords: collocation; system; gauss lobatto; chebyshev gauss ... See more keywords
Shifted fractional Legendre spectral collocation technique for solving fractional stochastic Volterra integro-differential equations
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DOI: 10.1007/s00366-020-01263-w
Abstract: This paper presents a spectral collocation technique to solve fractional stochastic Volterra integro-differential equations (FSV-IDEs). The algorithm is based on shifted fractional order Legendre orthogonal functions generated by Legendre polynomials. The shifted fractional order Legendre–Gauss–Radau… read more here.
Keywords: shifted fractional; collocation technique; fractional stochastic; collocation ... See more keywords
Analysis of collocation methods for nonlinear Volterra integral equations of the third kind
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DOI: 10.1007/s10092-019-0304-9
Abstract: We study the approximation of solutions of a class of nonlinear Volterra integral equations (VIEs) of the third kind by using collocation in certain piecewise polynomial spaces. If the underlying Volterra integral operator is not… read more here.
Keywords: integral equations; volterra integral; third kind; collocation ... See more keywords
A new mixed MADM-Collocation approach for solving a class of Lane–Emden singular boundary value problems
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DOI: 10.1007/s10910-018-00995-x
Abstract: In this paper, a new approach is proposed for solving a class of singular boundary value problems of Lane–Emden type. It is well known that the Adomian decomposition method (ADM) fails to provide a convergent… read more here.
Keywords: singular boundary; collocation; method; value ... See more keywords
A Fractional Spectral Collocation for Solving Second Kind Nonlinear Volterra Integral Equations with Weakly Singular Kernels
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DOI: 10.1007/s10915-019-00987-2
Abstract: The classical integer-order Jacobi spectral methods for solving second kind nonlinear Volterra integral equations with weakly singular kernels may cause a low-order accuracy in numerically approximating the exact solution. To overcome the shortcomings, we in… read more here.
Keywords: collocation; integral equations; volterra integral; fractional spectral ... See more keywords
An Adaptive Collocation Method for Solving Delay Fractional Differential Equations
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DOI: 10.1007/s40819-019-0737-5
Abstract: In this article, an adaptive collocation method is investigated for solving delay fractional differential equations (DFDEs). The fractional derivative is described in the Caputo–Fabrizio sense, that is a new fractional derivative with non-singular kernel. This… read more here.
Keywords: collocation; method; solving delay; adaptive collocation ... See more keywords
An Efficient Collocation Algorithm with SSP-RK43 Scheme to Solve Rosenau–KdV–RLW Equation
Sign Up to like & getrecommendations! Published in 2021 at "International Journal of Applied and Computational Mathematics"
DOI: 10.1007/s40819-021-01095-2
Abstract: In this study, the coupling of the Rosenau–Korteweg-de Vries and Rosenau-regularized-long wave equations are solved that model the motion of shallow-water waves, by a collocation technique based on quintic B-spline as basis functions. For this,… read more here.
Keywords: ssp rk43; efficient collocation; collocation algorithm; collocation ... See more keywords
Reduced Collocation Method for Time-Dependent Parametrized Partial Differential Equations
Sign Up to like & getrecommendations! Published in 2019 at "Bulletin of the Iranian Mathematical Society"
DOI: 10.1007/s41980-019-00210-w
Abstract: Reduced basis methods (RBMs) in the collocation framework provide both high accuracy approximate solution and efficient error estimate to parametrized partial differential equations (PDEs). Reduced collocation method (RCM) has so far been applied for steady… read more here.
Keywords: time dependent; time; parametrized partial; collocation method ... See more keywords