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×published date:2023-Jun-19
FULL TEXT in - | page 302 - 312
Abstract
The second-order nonlinear ordinary differential equations with shooting boundary conditions derived from the finite deformations of the internally pressurized spherical and cylindrical compressible rubber-like material and composed of Levinson and Burgess Strain energy function is presented. Though these equations as derived by our previous works were solved numerically using shooting and collocation methods in Mathematica software(ODE45 solver) for determination of the displacement distribution. Here, the statistical comparison of the two methods using a t-test shows no significant difference in the results for both the cylindrical and spherical deformations, which validates the results. However, from the analysis, the solution converged faster for the spherical deformation than that of the cylindrical deformation
Keywords: Spherical, Cylindrical, Mathematica, shooting, Collocation
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Copyright © International Journal of Basic Science and Technology | Faculty of Science, Federal University Otuoke 2019. All Rights Reserved.
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