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The Elzaki Transform Method for Addressing Cauchy Problems in Higher Order Nonlinear PDEs

Tarig M. ELZAKI

Tarig M. ELZAKI

Department of Mathematics, University of Jeddah, College of Science and Arts El KamelJeddah, Saudi Arabia
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ELZAKI, Tarig M.
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Mohamed Ali LATRACH

Mohamed Ali LATRACH

University of Tunis El Manar, National Engineering School at TunisLamsin, Tunisia
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LATRACH, Mohamed Ali
  
06 giu 2025
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Pubblicato online: 06 giu 2025
Pagine: 225 - 231
Ricevuto: 07 dic 2024
Accettato: 03 mar 2025
DOI: https://doi.org/10.2478/ama-2025-0028
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© 2025 Tarig M. ELZAKI et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Fig. 1.

Graphical representation of the ETM solution to example 1 after only one iteration
Graphical representation of the ETM solution to example 1 after only one iteration

Fig. 2.

Graphical representation of the exact solution to example 2 via ETM after only one step
Graphical representation of the exact solution to example 2 via ETM after only one step

Fig. 3.

Graphical representation of the exact solution to example 3 via ETM after only one iteration
Graphical representation of the exact solution to example 3 via ETM after only one iteration

Fig. 4.

Graphical representation of the exact solution to example 4 via ETM after only two iterations
Graphical representation of the exact solution to example 4 via ETM after only two iterations

Fig. 5.

Graphical representation of the exact solution to example 5 via ETM after only one iteration
Graphical representation of the exact solution to example 5 via ETM after only one iteration

Relative errors concerning example 4

Point Elzaki relative error
(0,0) 0
(–2, –2) 0
(2, 2) 2.4040 × 10−16
(0.5, 1.8333) 0
(0.5, –1.8333) 1.7360 × 10−15
(1.5, 1.5) 2.6424 × 10−16
(–1.5, –1.5) 3.3171 × 10−16
(1.1667, 0.6667) 1.8535 × 10−16
Lingua:
Inglese
Frequenza di pubblicazione:
4 volte all'anno
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Ingegneria, Elettrotecnica, Elettronica, Ingegneria meccanica, Meccanica, Bioingegneria ed ingegneria biomedicale, Biomeccanica, Ingegneria civile, Ingegneria ambientale
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