Results 81 to 90 of about 214,223 (194)

An explicit solution of third-order difference equations

open access: yesJournal of Computational and Applied Mathematics, 1994
In this note the author obtains explicit formulas for the solutions of homogeneous and nonhomogeneous third-order difference equations \(y(t + 3) = y(t + 2) + a(t)y(t)\), \(y(i) = c_ i\), \(i = 1,2,3\), respectively, \(y(t + 3) = y(t + 2) + a(t)y(t) + f(t)\), \(y(i) = c_ i\) \(i = 1,2,3\), where \(c_ i\) are constants, \(a(t)\) and \(f(t)\) are ...
openaire   +1 more source

The numerical solution of the nonlinear hyperbolic-parabolic heat equation

open access: yesDiscrete and Continuous Models and Applied Computational Science
The article discusses a mathematical model and a finite-difference scheme for the heating process of an infinite plate. The disadvantages of using the classical parabolic heat equation for this case and the rationale for using the hyperbolic heat ...
Vladislav N. Khankhasaev   +1 more
doaj   +1 more source

Higher-order approximations for space-fractional diffusion equation

open access: yesJournal of Numerical Analysis and Approximation Theory
Second-order and third-order finite difference approximations for fractional derivatives are derived from a recently proposed unified explicit form. The Crank-Nicholson schemes based on these approximations are applied to discretize the space-fractional
Anura Gunarathna Wickramarachchi   +1 more
doaj   +1 more source

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