kth-Order Closed Form Difference Equations for 1-Dimensional, First and Second order, Linear Hyperbolic Equations, with Applications to Quasilinear Systems

1982 ◽  
pp. 405-417
Author(s):  
John H. Cushman ◽  
Chi-Hua Huang
Keyword(s):  
Closed Form ◽  
Difference Equations ◽  
Hyperbolic Equations ◽  
Second Order ◽  
Order Linear ◽  
Quasilinear Systems ◽  
Linear Hyperbolic Equations

scholarly journals Non-polynomial Cubic Spline Method for the Solution of Second-order Linear Hyperbolic Equation

2021 ◽  
Vol 20 ◽  
pp. 301-308
Author(s):  
Nazan Çağlar
Keyword(s):  
Taylor Expansion ◽  
Hyperbolic Equations ◽  
Polynomial Spline ◽  
Second Order ◽  
Spline Method ◽  
Linear Hyperbolic Equation ◽  
Time Direction ◽  
Order Linear ◽  
Level Method ◽  
Linear Hyperbolic Equations

Second-order linear hyperbolic equations are solved by using a new three level method based on nonpolynomial spline in the space direction and Taylor expansion in the time direction. Numerical results reveal that three level method based on non-polynomial spline is implemented and effective

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