Results 51 to 60 of about 422,047 (168)

Numerical analysis for the Klein-Gordon equation with mass parameter

Advances in Difference Equations, 2017
A numerical analysis of the well-known linear partial differential equation describing the relativistic wave is presented in this work. Three different operators of fractional differentiation with power law, exponential decay law and Mittag-Leffler law ...
Badr Saad T Alkahtani, Abdon Atangana, Ilknur Koca   +2 more
doaj   +1 more source

Error bounds for numerical differentiation using kernels of finite smoothness

Researches in Mathematics
We provide improved error bounds for kernel-based numerical differentiation in terms of growth functions when kernels are of a finite smoothness, such as polyharmonic splines, thin plate splines or Wendland kernels.
O.V. Davydov
doaj   +1 more source

On the numerical differentiation

Journal of Numerical Analysis and Approximation Theory, 1997
Not available.
Alexandru Lupaş, Detlef H. Mache
doaj   +2 more sources

Generalized groundwater plume with degradation and rate-limited sorption model with Mittag-Leffler law

Results in Physics, 2017
The concept of differentiation with the generalized Mittag-Leffler law is used in this paper to construct the model of movement of groundwater pollution with degradation and limited sorption. The fractional differentiation used in the model is in Riemann-
Badr Saad T. Alkahtani, Abdon Atangana
doaj   +1 more source

Stability and convergence analysis of a class of continuous piecewise polynomial approximations for time fractional differential equations

, 2017
We propose and study a class of numerical schemes to approximate time fractional differential equations. The methods are based on the approximation of the Caputo fractional derivative by continuous piecewise polynomials, which is strongly related to the ...
Zegeling, Paul Andries, Zhou, Han
core   +1 more source

Mini-symposium on automatic differentiation and its applications in the financial industry

ESAIM: Proceedings and Surveys, 2017
Automatic differentiation has been involved for long in applied mathematics as an alternative to finite difference to improve the accuracy of numerical computation of derivatives.
Geeraert Sébastien, Lehalle Charles-Albert, Pearlmutter Barak A., Pironneau Olivier, Reghai Adil   +4 more
doaj   +1 more source

Boundary value problems for the diffusion equation of the variable order in differential and difference settings

, 2012
Solutions of boundary value problems for a diffusion equation of fractional and variable order in differential and difference settings are studied. It is shown that the method of energy inequalities is applicable to obtaining a priori estimates for these
Alikhanov, Anatoly A. Alikhanov, Atanackovic, Caputo, Chen, Chen, Coimbra, Kilbas, Kochubey, Lin, Lorenzo, Luchko, Luchko, Mainardi, Mainardi, Meerschaert, Nahushev, Podlubny, Podlubny, Pskhu, Pskhu, Samarskiy, Shen, Shkhanukov-Lafishev, Shkhanukov-Lafishev, Shkhanukov-Lafishev, Uchaikin, Zhuang   +27 more
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A Richardson’s Extrapolation Spreadsheet Calculator for Numerical Differentiation

Spreadsheets in Education, 2013
Even though approximating the definite differentiation by Richardson’s extrapolation method is straight forward, but its repetitive calculations are quite boring. Hence, there is a need to develop a suitable tool in teaching and learning for this method.
Kim Gaik Tay, Sie Long Kek, Rosmila Abdul-Kahar, Mohd Azwir Azlan, Ming Foong Lee   +4 more
doaj   +2 more sources

Precise Numerical Differentiation of Thermodynamic Functions with Multicomplex Variables. [PDF]

J Res Natl Inst Stand Technol, 2021
Deiters UK, Bell IH.
europepmc   +1 more source

Equivalence Theorems in Numerical Analysis : Integration, Differentiation and Interpolation [PDF]

, 2007
We show that if a numerical method is posed as a sequence of operators acting on data and depending on a parameter, typically a measure of the size of discretization, then consistency, convergence and stability can be related by a Lax-Richtmyer type ...
Hirani, Anil N., Jossey, John
core   +2 more sources