Open Access Open Access  Restricted Access Subscription Access
Open Access Open Access Open Access  Restricted Access Restricted Access Subscription Access

Numerical Solutions of Mildly Quasi-Linear Hyperbolic Equations and Generalizations


Affiliations
1 Rajdhani College, Mathematics Department, University of Delhi, Delhi- 110015, India
     

   Subscribe/Renew Journal


Finite difference methods for the numerical solution of one-space dimensional mildly quasi-linear hyperbolic equation with mixed derivative term, subject to appropriate initial and Dirichlet boundary conditions have been discussed. The methods are three level-implicit finite difference methods of order four. Linear stability analysis and fourth-order approximation at first time level for a one space dimensional quasi-linear hyperbolic equation with non zero second order time derivative term are discussed. The proposed method is generalized for a two and three space dimensional quasi-linear hyperbolic equation with a brief discussion of stability analysis. Numerical results are given to illustrate the accuracy of the proposed methods.
Subscription Login to verify subscription
User
Notifications
Font Size


Abstract Views: 375

PDF Views: 1




  • Numerical Solutions of Mildly Quasi-Linear Hyperbolic Equations and Generalizations

Abstract Views: 375  |  PDF Views: 1

Authors

Urvashi Arora
Rajdhani College, Mathematics Department, University of Delhi, Delhi- 110015, India

Abstract


Finite difference methods for the numerical solution of one-space dimensional mildly quasi-linear hyperbolic equation with mixed derivative term, subject to appropriate initial and Dirichlet boundary conditions have been discussed. The methods are three level-implicit finite difference methods of order four. Linear stability analysis and fourth-order approximation at first time level for a one space dimensional quasi-linear hyperbolic equation with non zero second order time derivative term are discussed. The proposed method is generalized for a two and three space dimensional quasi-linear hyperbolic equation with a brief discussion of stability analysis. Numerical results are given to illustrate the accuracy of the proposed methods.