scholarly journals Numerical solution of a class of delay differential and delay partial differential equations via Haar wavelet

2016 ◽  
Vol 40 (23-24) ◽  
pp. 10286-10299 ◽  
Author(s):  
Imran Aziz ◽  
Rohul Amin
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Numerical Solution ◽  
Haar Wavelet ◽  
Partial Differential ◽  
Delay Differential ◽  
Delay Partial Differential Equations

Numerical solution of parabolic partial differential equations using adaptive gird Haar wavelet collocation method

2016 ◽  
Vol 10 (02) ◽  
pp. 1750026 ◽  
Author(s):  
S. C. Shiralashetti ◽  
L. M. Angadi ◽  
M. H. Kantli ◽  
A. B. Deshi
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Numerical Solution ◽  
Collocation Method ◽  
Haar Wavelet ◽  
Parabolic Partial Differential Equations ◽  
Test Problems ◽  
Parabolic Pdes ◽  
Partial Differential ◽  
Wavelet Collocation Method

In this paper, we applied the adaptive grid Haar wavelet collocation method (AGHWCM) for the numerical solution of parabolic partial differential equations (PDEs). The approach of AGHWCM for the numerical solution of parabolic PDEs is mentioned, the obtained numerical results, error analysis are presented in figures and tables. This shows that, the AGHWCM gives better accuracy than the HWCM and FDM. Some of the test problems are taken for demonstrating the validity and applicability of the AGHWCM.

scholarly journals On the Absolute Stable Difference Scheme for Third Order Delay Partial Differential Equations

Symmetry ◽  
2020 ◽  
Vol 12 (6) ◽  
pp. 1033
Author(s):  
Allaberen Ashyralyev ◽  
Evren Hınçal ◽  
Suleiman Ibrahim
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Difference Scheme ◽  
Stability Estimates ◽  
Third Order ◽  
Partial Differential ◽  
The Absolute ◽  
The Stability ◽  
Delay Differential ◽  
Delay Partial Differential Equations

The initial value problem for the third order delay differential equation in a Hilbert space with an unbounded operator is investigated. The absolute stable three-step difference scheme of a first order of accuracy is constructed and analyzed. This difference scheme is built on the Taylor’s decomposition method on three and two points. The theorem on the stability of the presented difference scheme is proven. In practice, stability estimates for the solutions of three-step difference schemes for different types of delay partial differential equations are obtained. Finally, in order to ensure the coincidence between experimental and theoretical results and to clarify how efficient the proposed scheme is, some numerical experiments are tested.

scholarly journals Oscillation criteria for high order delay partial differential equations

1998 ◽  
Vol 11 (2) ◽  
pp. 193-208 ◽  
Author(s):  
Xinzhi Liu ◽  
Xilin Fu
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Boundary Conditions ◽  
High Order ◽  
Differential Inequalities ◽  
Partial Differential ◽  
Oscillation Criteria ◽  
Different Boundary Conditions ◽  
Delay Differential ◽  
Delay Partial Differential Equations

This paper studies a class of high order delay partial differential equations. Employing high order delay differential inequalities, several oscillation criteria are established for such equations subject to two different boundary conditions. Two examples are also given.

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