A Crank-Nicolson ADI quadratic spline collocation method for two-dimensional Riemann-Liouville space-fractional diffusion equations
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DOI: 10.1016/j.apnum.2020.10.015
Abstract: Abstract In this paper, we develop a Crank-Nicolson ADI quadratic spline collocation method for the approximation of two-dimensional two-sided Riemann-Liouville space-fractional diffusion equation, in which a quadratic spline collocation method combined with ADI approach is… read more here.
Keywords: space; spline collocation; method; quadratic spline ... See more keywords
Exponential B-spline collocation solutions to the Gardner equation
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DOI: 10.1080/00207160.2019.1594791
Abstract: ABSTRACT Exponential B-splines are used to set up a collocation method for solving the Gardner equation. The space reduction of the Gardner equation is carried out to be able to obtain an exponential B-spline approximation… read more here.
Keywords: gardner equation; collocation; spline collocation; exponential spline ... See more keywords
Re-modified quintic B-spline collocation method for the solution of Kuramoto–Sivashinsky type equations
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DOI: 10.1108/mmms-06-2018-0111
Abstract: Purpose The purpose of this paper is to present a new method, namely, “Re-modified quintic B-spline collocation method” to solve the Kuramoto–Sivashinsky (KS) type equations. In this method, re-modified quintic B-spline functions and the Crank–Nicolson… read more here.
Keywords: quintic spline; spline collocation; collocation method; method ... See more keywords