Convergence and stability of meshfree method based on radial basis function for a hyperbolic partial differential equation with piecewise constant arguments

2021 ◽  
pp. 1-19
Author(s):  
Yongtang Chen ◽  
Qi Wang
Keyword(s):  
Differential Equation ◽  
Partial Differential Equation ◽  
Radial Basis Function ◽  
Basis Function ◽  
Meshfree Method ◽  
Hyperbolic Partial Differential Equation ◽  
Partial Differential ◽  
Piecewise Constant Arguments ◽  
Piecewise Constant ◽  
Convergence And Stability

scholarly journals Pemodelan Tsunami Sederhana dengan Menggunakan Persamaan Differensial Parsial

2018 ◽  
Vol 8 (1) ◽  
pp. 26
Author(s):  
Indriati Retno Palupi ◽  
Wiji Raharjo ◽  
Eko Wibowo ◽  
Hafiz Hamdalah
Keyword(s):  
Differential Equation ◽  
Fluid Dynamics ◽  
Partial Differential Equation ◽  
Wave Propagation ◽  
Taylor Expansion ◽  
Tsunami Wave ◽  
Time Function ◽  
Hyperbolic Partial Differential Equation ◽  
Partial Differential ◽  
Space And Time

One way to solve fluid dynamics problem is using partial differential equation. By using Taylor expansion, fluid dynamics can be applied simply. For the example is tsunami wave. It is include to hyperbolic partial differential equation, tsunami wave propagation can describe in space and time function by using Euler FTCS (Forward Time Central Space) formula.

scholarly journals A parabolic differential equation with unbounded piecewise constant delay

1992 ◽  
Vol 15 (2) ◽  
pp. 339-346 ◽  
Author(s):  
Joseph Wiener ◽  
Lokenath Debnath
Keyword(s):  
Differential Equation ◽  
Partial Differential Equation ◽  
Difference Equations ◽  
Infinite Delay ◽  
Parabolic Differential Equation ◽  
Constant Delay ◽  
Partial Differential ◽  
Piecewise Constant ◽  
Greatest Integer Function

A partial differential equation with the argument[λt]is studied, where[•]denotes the greatest integer function. The infinite delayt−[λt]leads to difference equations of unbounded order.

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