In this article a variable order variable step size technique in backwards difference form is used to solve nonlinear Riccati\ndifferential equations directly. The method proposed requires calculating the integration coefficients only once at\nthe beginning, in contrast to current divided difference methods which calculate integration coefficients at every step\nchange. Numerical results will show that the variable order variable step size technique reduces computational cost in\nterms of total steps without effecting accuracy.
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