Assessing the Vulnerability and Adaptive Capacity of Rural Farmers to Climate Change in Girei Local Government Area, Adamawa State, Nigeria
Authors
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VO Atabo
Department of Mathematics, Ahmadu Ribadu College, Yola, Adamawa State, Nigeria
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PO Olatunji
Department of Mathematical Sciences, Adekunle Ajasin University, Akungba Akoko, Ondo State, Nigeria
Abstract
In this research article, we focus on the formulation of a 5-point block formula for solving first order ordinary differential equations (ODEs). The method is formulated via interpolation and collocation approach using power series expansion as the approximate solution. It has been established that the derived method is of order six. Basic properties such zero and absolute stabilities, convergence, order and error constant have also been investigated. The accuracy of the method was verified on some selected stiff IVPs, compared with some existing methods (DIBBDF, SDIBBDF, BBDF(4), BBDF(5) and odes15s) and test performance showed that the new method is viable.
Keywords: Absolute stability, Stiff initial value problems, Block method, Error constant