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A Numerical Approach for Solving a General Nonlinear Wave Equation
並列摘要
An analysis of various numerical schemes and boundary conditions on a general nonlinear wave equation is considered in this study. In particular, the Lax-Wendroff, Leapfrog and Iterated Crank Nicholson methods with Dirichlet boundary conditions are used to solve this nonlinear wave equation. The computation of the solution is made via the reduction of the nonlinear wave equation to the two variable and three variable systems.
延伸閱讀
- Soleymani, F., Vanani, S. K., & Afghani, A. (2011). A General Three-Step Class of Optimal Iterations for Nonlinear Equations. Mathematical Problems in Engineering, 2011(), 384-393-123. https://doi.org/10.1155/2011/469512
- SEN, R., & MUKHERJEE, S. (1983). ON ITERATIVE SOLUTION OF NONLINEAR FUNCTIONAL EQUATIONS IN A METRIC SPACE. International Journal of Mathematics and Mathematical Sciences, 1983(), 161-170. https://doi.org/10.1155/S0161171283000149
- Gao, E., Song, S., & Zhang, X. (2012). A Numerical Algorithm for Solving a Four-Point Nonlinear Fractional Integro-Differential Equations. Mathematical Problems in Engineering, 2012(), 1187-1197-168. https://doi.org/10.1155/2012/329575
- Medina, R. (2017). New Conditions for the Exponential Stability of Nonlinear Differential Equations. Abstract and Applied Analysis, 2017(), 1-7-015. https://doi.org/10.1155/2017/4640835
- Ding, H. F., & Li, C. P. (2013). Numerical Algorithms for the Fractional Diffusion-Wave Equation with Reaction Term. Abstract and Applied Analysis, 2013(), 738-752-590. https://doi.org/10.1155/2013/493406