Bi-Finite Difference Method to Solve Second-Order Nonlinear Hyperbolic Telegraph Equation in Two Dimensions

K.R. Raslan; Khalid. K Ali; Hind K Al-JeaidM.A. ShaalanMohammad Yaghoub Abdollahzadeh Jamalabadi

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Bi-Finite Difference Method to Solve Second-Order Nonlinear Hyperbolic Telegraph Equation in Two Dimensions

机译：Bi-Finite Difference Method to Solve Second-Order Nonlinear Hyperbolic Telegraph Equation in Two Dimensions

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This study introduces a computational scheme by the bi-finite difference method (Bi-FDM) to solve the hyperbolic telegraph equation in two dimensions. The proposed numerical method converts nonlinear two-dimensional hyperbolic telegraph equation of second order to difference equations that can be solved by the Mathematica program. Consistency and stability of the proposed scheme are discussed and found to be accurate of Ohx2+hy2+Δτ2 and conditionally stable, respectively. The efficiency and accuracy of Bi-FDM have been shown by comparing the numerical results of the presented problems with the exact solutions and other numerical techniques.

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《Mathematical Problems in Engineering: Theory, Methods and Applications》 |2022年第28期|1.1-1.10|共10页
作者
K.R. Raslan; Khalid. K Ali; Hind K Al-JeaidM.A. ShaalanMohammad Yaghoub Abdollahzadeh Jamalabadi;
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Mathematics Department Faculty of Science Al-Azhar University Nasr-City Cairo;

Department of Mathematical Sciences Umm Al-Qura University Makkah;

Basic Science Department Higher Technological Institute 10th of RamadanCity;

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Bi-Finite Difference Method to Solve Second-Order Nonlinear Hyperbolic Telegraph Equation in Two Dimensions

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