Numerical simulation of two dimensional sine-Gordon solitons using modified cubic B-spline differential quadrature method
Source abstract
Abstract
In this paper, a modified cubic B-spline differential quadrature method (MCB-DQM) is employed for the numerical simulation of two-space dimensional nonlinear sine-Gordon equation with appropriate initial and boundary conditions. The modified cubic B-spline works as a basis function in the differential quadrature method to compute the weighting coefficients. Accordingly, two dimensional sine-Gordon equation is transformed into a system of second order ordinary differential equations (ODEs). The resultant system of ODEs is solved by employing an optimal five stage and fourth-order strong stability preserving Runge–Kutta scheme (SSP-RK54). Numerical simulation is discussed for both damped and undamped cases. Computational results are found to be in good agreement with the exact solution and other numerical results available in the literature.
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Research context
OpenAlex topics: Numerical methods for differential equations · Nonlinear Waves and Solitons · Computational Fluid Dynamics and Aerodynamics
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
DDU Gorakhpur University 1 Department of Mathematics & Statistics, , Gorakhpur-273009, India
Tracking and Command Network (ISTRAC) 2 ISRO Telemetry, , Bangalore-560058, India
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