The Fragile Points Method (FPM) to solve two-dimensional hyperbolic telegraph equation using point stiffness matrices

2022 ◽  
Vol 134 ◽  
pp. 11-21
Author(s):  
Donya Haghighi ◽  
Saeid Abbasbandy ◽  
Elyas Shivanian ◽  
Leiting Dong ◽  
Satya N. Atluri
Keyword(s):  
Telegraph Equation ◽  
Two Dimensional ◽  
Stiffness Matrices

Two-Dimensional Legendre Wavelets for Solving Time-Fractional Telegraph Equation

2014 ◽  
Vol 6 (2) ◽  
pp. 247-260 ◽  
Author(s):  
M. H. Heydari ◽  
M. R. Hooshmandasl ◽  
F. Mohammadi
Keyword(s):  
Numerical Solution ◽  
Fractional Integration ◽  
Telegraph Equation ◽  
Operational Matrices ◽  
Two Dimensional ◽  
Legendre Wavelets ◽  
Fractional Telegraph Equation ◽  
Manageable Method

AbstractIn this paper, we develop an accurate and efficient Legendre wavelets method for numerical solution of the well known time-fractional telegraph equation. In the proposed method we have employed both of the operational matrices of fractional integration and differentiation to get numerical solution of the time-telegraph equation. The power of this manageable method is confirmed. Moreover the use of Legendre wavelet is found to be accurate, simple and fast.

scholarly journals Numerical Solution of Space-time Fractional two-dimensional Telegraph Equation by Shifted Legendre Operational Matrices

2018 ◽  
Vol 4 (1) ◽  
pp. 45-62
Author(s):  
محسن علی پور ◽  
سیده ساجده حسینی پاشاکلایی ◽  
◽  
Keyword(s):  
Numerical Solution ◽  
Telegraph Equation ◽  
Space Time ◽  
Operational Matrices ◽  
Two Dimensional
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