TY - JOUR
ID - 104901
TI - A fully discretization approach for nonlinear Phi-four equations
JO - Computational Mathematics and Computer Modeling with Applications (CMCMA)
JA - CMCMA
LA - en
SN -
AU - Mehrpouya, Mohammad Ali
AD - Department of Mathematics, Tafresh University, Tafresh 39518-79611, Iran.
Y1 - 2024
PY - 2024
VL - 3
IS - 1
SP - 38
EP - 45
KW - Phi-four equations
KW - Discretization methods
KW - Collocation
KW - Legendre-Gauss-Lobatto points
DO - 10.48308/CMCMA.3.1.38
N2 - In this paper, a fully discretization approach is established for accurate and efficient solution of nonlinear time-dependent Phi-four equations arising in particle physics and quantum mechanics. In the suggested approach, the lobatto pseudospectral method is used to discretize the desired problem. So, the Phi-four equation is converted into a set of nonlinear algebraic equations. The primary benefit of the suggested approach is that, it produces excellent results with just few discretization points and has a fast rate of convergence. Numerical results are showcased to verify the precision and effectiveness of the suggested approach for solving nonlinear Phi-four equations.
UR - https://cmcma.sbu.ac.ir/article_104901.html
L1 - https://cmcma.sbu.ac.ir/article_104901_614d62fa90b8e1549ad38d905ee4818f.pdf
ER -