scholarly journals An efficient four‐step multiderivative method for the numerical solution of second‐order IVPs with oscillating solutions

2020 ◽  
Vol 2 (5) ◽  
Author(s):  
Ali Shokri ◽  
Mohammad Mehdizadeh Khalsaraei
Keyword(s):  
Numerical Solution ◽  
Second Order ◽  
Oscillating Solutions

A new class of two-step P-stable TFPL methods for the numerical solution of second-order IVPs with oscillating solutions

2019 ◽  
Vol 354 ◽  
pp. 551-561 ◽  
Author(s):  
Ali Shokri ◽  
Jesús Vigo-Aguiar ◽  
Mohammad Mehdizadeh Khalsaraei ◽  
Raquel Garcia-Rubio
Keyword(s):  
Numerical Solution ◽  
Second Order ◽  
New Class ◽  
Oscillating Solutions

scholarly journals On the numerical solution of a singular second-order thermoelastic system

2017 ◽  
Vol 9 (5) ◽  
pp. 168781401770300
Author(s):  
Said Mesloub ◽  
Saleem Obaidat
Keyword(s):  
Numerical Solution ◽  
Second Order

Numerical solution of a source identification problem: Almost coercivity

2019 ◽  
Vol 27 (4) ◽  
pp. 457-468 ◽  
Author(s):  
Allaberen Ashyralyev ◽  
Abdullah Said Erdogan ◽  
Ali Ugur Sazaklioglu
Keyword(s):  
Numerical Solution ◽  
Source Identification ◽  
Identification Problem ◽  
Second Order ◽  
Numerical Results ◽  
Difference Schemes ◽  
Stability Estimates ◽  
Order Of Accuracy ◽  
Accuracy Difference ◽  
Coercive Stability

Abstract The present paper is devoted to the investigation of a source identification problem that describes the flow in capillaries in the case when an unknown pressure acts on the system. First and second order of accuracy difference schemes are presented for the numerical solution of this problem. Almost coercive stability estimates for these difference schemes are established. Additionally, some numerical results are provided by testing the proposed methods on an example.

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