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SEMI-ANALYTICAL SOLUTIONS OF NONLINEAR PROBLEMS OF THE DEFORMATION OF BEAMS AND OF THE PLATE DEFLECTION THEORY USING THE OPTIMAL HOMOTOPY ASYMPTOTIC METHOD

Volume 45, Issue 7, 2014, pp. 603-620
DOI: 10.1615/HeatTransRes.2014007084
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A. Javed
Center for Advance Studies in Engineering (CASE), 19-Attaturk Avenue, G-5/1, Islamabad, Pakistan
Shaukat Iqbal
Department of Computer Science, COMSATS Institute of Information Technology, Sahiwal, Pakistan
Muhammad Sadiq Hashmi
Department of Computer Science, COMSATS Institute of Information Technology, Sahiwal, Pakistan
Amir H. Dar
Department of Electrical Engineering, COMSATS Institute of Information Technology, Islamabad, Pakistan
Nargis Khan
Department of Mathematics, The Islamia University of Bahawalpur, Pakistan

ABSTRACT

The effectiveness of the Optimal Homotopy Asymptotic Method (OHAM) is tested for nonlinear fourth-order boundary-value problems associated with the deformation of beams, with the plate deflection theory, and viscoelastic and inelastic flows. Exact solutions are in complete agreement with the results of OHAM. The results demonstrate that the method is quite efficient, effective, implicit, and easy to implement.

KEY WORDS: optimal homotopy asymptotic method, nonlinear problems, analytical solution
CITED BY

  1. Khan N., Hashmi M.S., Iqbal S., Mahmood T., Optimal homotopy asymptotic method for solving Volterra integral equation of first kind, Alexandria Engineering Journal, 53, 3, 2014. Crossref

  2. GOHAR MADIHA, APPROXIMATE SOLUTION TO FRACTIONAL RICCATI DIFFERENTIAL EQUATIONS, Fractals, 27, 08, 2019. Crossref

  3. Inayat Usman, Iqbal Shaukat, Manzoor Tareq, Zia Muhammad Fahad, Numerical Investigation of Heat Transfer on Unsteady Hiemenz Cu-Water and Ag-Water Nanofluid Flow over a Porous Wedge Due to Solar Radiation, Applied Sciences, 11, 22, 2021. Crossref

  4. Manzoor Tareq, Iqbal S., Shah Mohd Asif, A note on the slip effects of an Oldroyd 6-constant fluid: Optimal homotopy asymptotic method, Frontiers in Physics, 10, 2022. Crossref

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