@article{Okor_Nwachukwu_2022, title={Generalized Cash-type Second Derivative Extended Backward Differentiation Formulas for Stiff systems of ODEs: Extended backward differentiation}, volume={41}, url={https://ojs.ictp.it/jnms/index.php/jnms/article/view/810}, abstractNote={<pre>In this paper, a generalized Cash-type second derivative extended backward differentiation formulas (GCE2BD) <br>is developed as boundary value methods (BVMs) for the numerical solution of stiff systems of ordinary differential<br>equations (ODEs). The proposed class of methods is O<sub>v,(k+1)-v</sub>-stable and A<sub>v,(k+1)-v</sub>-stable with (v,(k+1)-v)-boundary <br>conditions and order k+3 for all values of the step-length k &gt;= 1.The class of methods proposed is exceptional for <br>the numerical solution of stiff systems whose Jacobians have some relatively large eigenvalues near the imaginary <br>axis. The accuracy and efficiency of the constructed methods are examined in some details via the numerical <br>experiments carried out on some well-known linear and non-linear stiff systems using the boundary value techniques<br>such that the numerical solution of a problem is obtained simultaneously on the entire interval of integration.<br>The new class of methods is found to compare favorably with existing standard methods in the literature.</pre>}, number={2}, journal={Journal of the Nigerian Mathematical Society}, author={Okor, Tega and Nwachukwu, Grace, Chinyere}, year={2022}, month={Oct.}, pages={163–191} }