Analytic approximations to non-linear third order jerk equations via modified global error minimization method

Abstract

In this paper, a modified version of the global error minimization method (GEMM) is presented for solving non-linear third order jerk equations by obtaining the unknown parameters up to third order. Two illustrative examples are given to demonstrate the implementation and validity of the present method. The obtained analytical results are compared and simulated with the known solutions and the exact numerical one, which reveal that the current method are very effective and provides an efficient alternative to the known previously existing methods and can be used for other nonlinear applications arising in engineering and sciences. The analytical and numerical results are presented through Tables and graphs.

Keywords

• Nonlinear third order jerk equations
• Analytical solutions
• Global error minimization method
• Numerical solution
• Periodic solutions