Modified Laplace based variational iteration method for the mechanical vibrations and its applications

• Autorzy: Rehman Shahida , Hussain Akhtar , Rahman Jamshaid Ul , Anjum Naveed , Munir Taj

Identyfikatory

DOI

10.2478/ama-2022-0012

• Języki publikacji: EN

Abstrakty

EN

In this paper, we are putting forward the periodic solution of non-linear oscillators by means of variational iterative method (VIM) using Laplace transform. Here, we present a comparative study of the new technique based on Laplace transform and the previous tech-niques of maximum minimum approach (MMA) and amplitude frequency formulation (AFF) for the analytical results. For the non-linear oscillators, MMA, AFF and VIM by Laplace transform give the same analytical results. Comparison of analytical results of VIM by Laplace transform with numerical results by fourth-order Runge–Kutta (RK) method conforms the soundness of the method for solving non-linear oscillators as well as for the time and boundary conditions of the non-linear oscillators.

Słowa kluczowe

EN

variational iterative method; nonlinear oscillator; Laplace transform

• Wydawca: Oficyna Wydawnicza Politechniki Białostockiej
• Czasopismo: Acta Mechanica et Automatica
• Rocznik: 2022
• Tom: Vol. 16, no. 2
• Strony: 98--102
• Opis fizyczny: Bibliogr. 34 poz., rys., tab., wykr.

Twórcy

autor

Rehman Shahida

• Abdus Salam School of Mathematical Sciences, Government College University, 68-B, New MuslimTown, Lahore 54600, Pakistan

• https://orcid.org/0000-0001-7137-9079

autor

Hussain Akhtar

• Abdus Salam School of Mathematical Sciences, Government College University, 68-B, New MuslimTown, Lahore 54600, Pakistan

• https://orcid.org/0000-0002-1892-3212

autor

Rahman Jamshaid Ul

• Abdus Salam School of Mathematical Sciences, Government College University, 68-B, New MuslimTown, Lahore 54600, Pakistan

• https://orcid.org/0000-0001-8642-0660

autor

Anjum Naveed

• Faculty of Physical Sciences, Department of Mathematics, Government College University, Allama Iqbal Road, Faisalabad-38000, Pakistan

• https://orcid.org/0000-0001-7810-7877

autor

Munir Taj

• Abdus Salam School of Mathematical Sciences, Government College University, 68-B, New MuslimTown, Lahore 54600, Pakistan

• https://orcid.org/0000-0001-8998-7937

Bibliografia

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