Semi-analytical solution for time-fractional diffusion equation based on finite difference method of lines (MOL)
Sign Up to like & getrecommendations! Published in 2018 at "Engineering with Computers"
DOI: 10.1007/s00366-018-0595-5
Abstract: In this article, we apply the method of lines (MOL) for solving the time-fractional diffusion equations (TFDEs). The use of MOL yields a system of fractional differential equations with the initial value. The solution of… read more here.
Keywords: time fractional; method lines; lines mol; fractional diffusion ... See more keywords
Method of Lines Transpose: An Efficient Unconditionally Stable Solver for Wave Propagation
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Scientific Computing"
DOI: 10.1007/s10915-016-0268-8
Abstract: Building upon recent results obtained in Causley and Christlieb (SIAM J Numer Anal 52(1):220–235, 2014), Causley et al. (Math Comput 83(290):2763–2786, 2014, Method of lines transpose: high order L-stable O(N) schemes for parabolic equations using… read more here.
Keywords: solver; order; boundary conditions; lines transpose ... See more keywords
On the Generalized Method of Lines Applied to Ginzburg–Landau Type Equations
Sign Up to like & getrecommendations! Published in 2017 at "International Journal of Applied and Computational Mathematics"
DOI: 10.1007/s40819-016-0138-y
Abstract: The main focus of this work is the presentation of some new developments concerning the generalized method of lines (GMOL). We develop some examples about the method related to Ginzburg–Landau type equations. It is worth… read more here.
Keywords: landau type; ginzburg landau; type equations; generalized method ... See more keywords
Numerical simulation of the nuclear reactors kinetics behavior using method of lines based on the GDQ method
Sign Up to like & getrecommendations! Published in 2018 at "Annals of Nuclear Energy"
DOI: 10.1016/j.anucene.2017.11.012
Abstract: Abstract In this paper, for the first time, numerical technique using Method of Lines (MOL) based on the Generalized Differential Quadrature method (GDQ) is developed and applied for two energy groups of reactor kinetics and… read more here.
Keywords: nuclear reactors; method; using method; method lines ... See more keywords
The Numerical Method of Lines facilitates the instruction of unsteady heat conduction in simple solid bodies with convective surfaces
Sign Up to like & getrecommendations! Published in 2020 at "International Journal of Mechanical Engineering Education"
DOI: 10.1177/0306419020910423
Abstract: The present study on engineering education addresses the Method of Lines and its variant the Numerical Method of Lines as a reliable avenue for the numerical analysis of one-dimensional unsteady heat conduction in walls, cylinders,… read more here.
Keywords: heat; numerical method; method lines; heat conduction ... See more keywords