The Numerical Study of a Hybrid Method for Solving Telegraph Equation
Publié en ligne: 31 mars 2020
Pages: 293 - 302
Reçu: 30 avr. 2019
Accepté: 07 juil. 2019
© 2019 Derya Arslan, published by Sciendo
This work is licensed under the Creative Commons Attribution 4.0 International License.
Fig. 1
Comparison of exact and approximate solutions for Example 1.Fig. 2
Comparison of exact and approximate solutions for Example 2.Fig. 3
Comparison of exact and approximate solutions for Example 3.Exact solution, approximate solution, and error values for t = 0.01
x | Exact solution | Approximate solution | Error |
---|
0.0 | 0.980198673 | 0.980198673 | 0 |
0.1 | 1.083287067 | 1.083287068 | 0.1×10−8 |
0.2 | 1.197217363 | 1.197217363 | 0 |
0.3 | 1.323129812 | 1.323129813 | 0.1×10−8 |
0.4 | 1.462284589 | 1.462284590 | 0.1×10−8 |
0.5 | 1.616074402 | 1.616074403 | 0.1×10−8 |
0.6 | 1.786038431 | 1.786038431 | 0 |
0.7 | 1.973877732 | 1.973877732 | 0 |
0.8 | 2.181472265 | 2.181472265 | 0 |
0.9 | 2.410899706 | 2.410899707 | 0.1×10−8 |
1.0 | 2.664456242 | 2.664456241 | 0.1×10−8 |