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Optimal homotopy analysis and control of error for implicitly defined fully nonlinear differential equations

Optimal homotopy analysis and control of error for implicitly defined fully nonlinear differential equations

Implicitly defined fully nonlinear differential equations can admit solutions which have only finitely many derivatives, making their solution via analytical or numerical techniques challenging. We apply the optimal homotopy analysis method (OHAM) to the solution of implicitly defined ordinary differential equations, obtaining solutions with low error after few iterations or …