Numerical methods for the multiplicative partial differential equations

Muhammet Yazıcı, and Harun Selvitopi. "Numerical methods for the multiplicative partial differential equations." Open Mathematics 15.1 (2017): 1344-1350. <http://eudml.org/doc/288407>.

@article{MuhammetYazıcı2017,
abstract = {We propose the multiplicative explicit Euler, multiplicative implicit Euler, and multiplicative Crank-Nicolson algorithms for the numerical solutions of the multiplicative partial differential equation. We also consider the truncation error estimation for the numerical methods. The stability of the algorithms is analyzed by using the matrix form. The result reveals that the proposed numerical methods are effective and convenient.},
author = {Muhammet Yazıcı, Harun Selvitopi},
journal = {Open Mathematics},
keywords = {Finite difference methods; Multiplicative calculus; Partial differential equation; Stability analysis},
language = {eng},
number = {1},
pages = {1344-1350},
title = {Numerical methods for the multiplicative partial differential equations},
url = {http://eudml.org/doc/288407},
volume = {15},
year = {2017},
}

TY - JOUR
AU - Muhammet Yazıcı
AU - Harun Selvitopi
TI - Numerical methods for the multiplicative partial differential equations
JO - Open Mathematics
PY - 2017
VL - 15
IS - 1
SP - 1344
EP - 1350
AB - We propose the multiplicative explicit Euler, multiplicative implicit Euler, and multiplicative Crank-Nicolson algorithms for the numerical solutions of the multiplicative partial differential equation. We also consider the truncation error estimation for the numerical methods. The stability of the algorithms is analyzed by using the matrix form. The result reveals that the proposed numerical methods are effective and convenient.
LA - eng
KW - Finite difference methods; Multiplicative calculus; Partial differential equation; Stability analysis
UR - http://eudml.org/doc/288407
ER -