TY - JOUR
T1 - Reliable treatment for solving boundary value problems of pantograph delay differential equation
AU - Wazwaz, Abdul Majid
AU - Raja, Muhammad Asif Zahoor
AU - Syam, Muhammad Ibrahim
N1 - Publisher Copyright:
© 2017, Editura Academiei Romane. All rights reserved.
PY - 2017
Y1 - 2017
N2 - This work presents an accurate and reliable treatment of the pantograph equation, which is a delay differential equation that appears in many scientific applications. The Adomian decomposition method and the variational iteration method will be used to carry out this work. Both the Adomian decomposition method and the variational iteration method provide convergent series solutions for linear and nonlinear differential equations. We conduct a comparative study between the two methods by highlighting the specific features of each method. Four linear and nonlinear pantograph equations will be investigated to support this work. The power of the two methods is confirmed.
AB - This work presents an accurate and reliable treatment of the pantograph equation, which is a delay differential equation that appears in many scientific applications. The Adomian decomposition method and the variational iteration method will be used to carry out this work. Both the Adomian decomposition method and the variational iteration method provide convergent series solutions for linear and nonlinear differential equations. We conduct a comparative study between the two methods by highlighting the specific features of each method. Four linear and nonlinear pantograph equations will be investigated to support this work. The power of the two methods is confirmed.
KW - Adomian decomposition method
KW - Delay differential equation
KW - Pantograph equation
KW - Variational iteration method
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M3 - Article
AN - SCOPUS:85019302831
SN - 1221-1451
VL - 69
JO - Romanian Reports in Physics
JF - Romanian Reports in Physics
IS - 1
M1 - 102
ER -