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자연과학
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의약학
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예술체육학
복합학
DBpia AI
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AI 아이디어
AI 리더
AI 뷰어
Citeasy
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커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
초록·키워드
Abstract Two numerical regimes for the one- and two-dimensional hyperbolic telegraph equations are contrasted in this article. The first implemented regime is uniform algebraic trigonometric tension B-spline DQM, while the second implemented regime is uniform algebraic hyperbolic tension B-spline DQM. The resulting system of ODEs is solved by the SSP RK43 method after the aforementioned equations are spatially discretized. To assess the success of chosen tactics, a comparison of errors is shown. The graphs can be seen, and it is asserted that the precise and numerical results are in agreement with one another. Analyses of convergence and stability are also given. It should be highlighted that there is a dearth of study on 1D and 2D hyperbolic telegraph equations. This aim of this study is to efficiently create results with fewer mistakes. These techniques would surely be useful for other higher-order nonlinear complex natured partial differential equations, including fractional equations, integro equations, and partial-integro equations.
#Mathematics
#Nonlinear system
#Discretization
#Hyperbolic partial differential equation
#Partial differential equation
#Algebraic equation
#Spline (mechanical)
#Mathematical analysis
#Telegrapher's equations
#Trigonometry
#Applied mathematics
#Ordinary differential equation
#Hyperbolic function
#Differential equation
#Computer science
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