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Home  >  Volume 41

Approximate Solutions of Higher Dimensional Linear and Nonlinear Initial Boundary Value Problems Using New Iterative Method By Lawal Oluwafemi. W, Loyinmi Adedapo. C and Arubi Daniel, A.
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Abstract.

In this paper, we obtained the approximate solution of higher dimensional linear and nonlinear initial boundary value problem (HDIBVP) using a new iterative method (NIM). The new method is easy to use and we obtained excellent performance after third iteration. The analysis is accompanied by numerical examples where this method, in solving them, is used without linearization, discretization, transformation or small perturbation which confirms the power, accuracy, and simplicity of the method compared with some of the other methods.

Keywords: Higher dimensional initial boundary value problems, partial differential equation, linear and nonlinear differential equation, new iterative method, variational Iteration decomposition method.

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