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- Title
Approximate Solution of Fourth Order Parabolic Equation using Splines.
- Authors
Bhatt, Sandeep; Singh, Swarn; Singh, Suruchi
- Abstract
In the present article, we compute the fourth order accurate solution of the fourth order parabolic PDE that describes the behavior of a vibrating beam. We derive a new compact method by using cubic B-splines. We have used the Crank-Nicolson method for discretization along the time direction. We have exhibited the unconditional stability of the method using the stability analysis. A few numerical experiments have been done to validate the accuracy of the method. The advantages of the current method over the methods available are its easy implementation and lack of computational efforts.
- Subjects
CRANK-nicolson method; DISCRETIZATION methods; EQUATIONS; SPLINES; SPLINE theory
- Publication
Palestine Journal of Mathematics, 2023, Vol 12, p119
- ISSN
2219-5688
- Publication type
Article