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An iterative method to compute dual solutions on a class of nonlinear higher order SBVPs arising in MBE

An iterative method to compute dual solutions on a class of nonlinear higher order SBVPs arising in MBE

In this work, we focus on the following non-linear fourth order SBVP \begin{eqnarray} \nonumber \frac{1}{r}\left[ r \left\lbrace \frac{1}{r} \left(r \phi’ \right)^{’} \right\rbrace^{’}\right]^{’}=\frac{\phi’ \phi’‘}{r}+\lambda, \end{eqnarray} where $\lambda$ is a parameter. We convert this non-linear differential equation into third order non-linear differential equation, which is given by \begin{eqnarray} \nonumber \frac{1}{r}\left[ r \left\lbrace …