In numerical analysis, the Crank–Nicolson method is a finite difference method used for numerically solving the heat equation and similar partial… (More)

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2013

2013

- Sarita H. Thakar
- 2013

In this paper we presented Crank-Nicolson type scheme for numerical solution of one dimensional non linear Burgers equation with… (More)

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2011

2011

A novel Exponential Time Differencing (ETD) Crank-Nicolson method is developed which is stable, second order convergent, and… (More)

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2011

2011

In this paper, we develop the Crank-Nicolson finite difference method (C-N-FDM) to solve the linear time-fractional diffusion… (More)

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2010

2010

- Andrzej Marciniak
- PARA
- 2010

To study the heat or diffusion equation it is often used the Crank-Nicolson method which is unconditionally stable and has order… (More)

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2009

2009

- Alexei Lozinski, Marco Picasso, Virabouth Prachittham
- SIAM J. Scientific Computing
- 2009

In this paper we derive two a posteriori upper bounds for the heat equation. A continuous, piecewise linear finite element… (More)

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2009

2009

- Mohammad Siddique
- 2009 WRI World Congress on Computer Science and…
- 2009

Parabolic partial differential equations with nonlocal boundary conditions have important applications in chemical diffusion… (More)

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2007

2007

- Ole Østerby
- 2007

Crank-Nicolson is a popular method for solving parabolic equations because it is unconditionally stable and second order accurate… (More)

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2006

2006

- Georgios Akrivis, Charalambos Makridakis, Ricardo H. Nochetto
- Math. Comput.
- 2006

We derive optimal order a posteriori error estimates for time discretizations by both the Crank–Nicolson and the Crank–Nicolson… (More)

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2006

2006

- Yifei Yang, Qing Han, R. S. Chen
- 2006 IEEE Antennas and Propagation Society…
- 2006

In this paper, the implicit three-dimensional unconditionally stable Crank-Nicolson finite-difference time-domain method (3-D CN… (More)

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2006

2006

- Mohan K. Kadalbajoo, Ashish Awasthi
- Applied Mathematics and Computation
- 2006

In this paper, we present a solution based on Crank-Nicolson finite difference method for one-dimensional Burgers’ equation… (More)

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