Efficient techniques for the second-order parabolic equation subject to nonlocal specifications

By Mehdi Dehghan. 2005

165 citations recorded by the source corpus.

Subfields: Applied Mathematics, Mechanics of Materials, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/7dbd9d10c78176c363c438e09469719a816c7942

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Mehdi Dehghan
2. M. Tatari
3. Mohsen Razzaghi
4. Mehdi Ramezani
5. Abbas Saadatmandi
6. Mehrdad Lakestani
7. Ali Shokri
8. Arezou Ghesmati

In Mechanics of Materials

1. Mehdi Dehghan
2. Mehrdad Lakestani
3. Mohsen Razzaghi
4. Abbas Saadatmandi
5. M. Tatari
6. Mehdi Ramezani
7. Ali Shokri
8. S. Yousefi

In Numerical Analysis

1. Mehdi Dehghan
2. Mehrdad Lakestani
3. Abbas Saadatmandi
4. Mohsen Razzaghi
5. Mehdi Ramezani
6. M. Tatari
7. Ali H. Bhrawy
8. Ali Shokri

Citations in the corpus

• The use of cubic B‐spline scaling functions for solving the one‐dimensional hyperbolic equation with a nonlocal conservation condition (2007, background): “The author of [18] discussed various approaches that have been considered in the literature for the numerical solution of the one-dimensional heat equation subject to nonlocal boundary conditions.”
• Combined finite difference and spectral methods for the numerical solution of hyperbolic equation with an integral condition (2008, methodology): “The parabolic equationwith nonlocal boundary conditions has been treated extensively byfinite difference methods, finite element procedures, boundary element techniques, spectral schemes, Adomian decomposition method, and the semidiscretization procedures in the last 20 years [1–4].”
• Identification of a time‐dependent coefficient in a partial differential equation subject to an extra measurement (2005, unknown): “It is worth noting that using the Saulyev’s second kind finite difference technique [31,32] gives the following difference equation, which is again O(h k):”
• Numerical solution of the one‐dimensional wave equation with an integral condition (2007, background): “[12–15], Dehghan [16–18], Ekolin [19], Saadatmandi and Razzaghi [20], and Lin and Tiat [21, 22].”
• Use of radial basis functions for solving the second‐order parabolic equation with nonlocal boundary conditions (2008, methodology): “In Table III, the relative error of some well-known finite-difference methods [26] are presented for various values of x and t ( x)2 = 0.”