Uniform Order Eleven of Eight-Step Hybrid Block Backward Differentiation Formulae for the Solution of Stiff Ordinary Differential Equations
2021 ◽
Vol 09
(08)
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Keyword(s):
In this research, we developed a uniform order eleven of eight step Second derivative hybrid block backward differentiation formula for integration of stiff systems in ordinary differential equations. The single continuous formulation developed is evaluated at some grid point of x=x_(n+j),j=0,1,2,3,4,5 and6 and its first derivative was also evaluated at off-grid point x=x_(n+j),j=15/2 and grid point x=x_(n+j),j=8. The method is suitable for the solution of stiff ordinary differential equations and the accuracy and stability properties of the newly constructed method are investigated and are shown to be A-stable. Our numerical results obtained are compared with the theoretical solutions as well as ODE23 solver.
A NEW SUPERCLASS OF BLOCK BACKWARD DIFFERENTIATION FORMULA FOR STIFF ORDINARY DIFFERENTIAL EQUATIONS
2014 ◽
Vol 07
(01)
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pp. 1350034
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2013 ◽
Vol 65
(7)
◽
pp. 996-1005
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2013 ◽
Vol 2013
◽
pp. 1-11
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2012 ◽
Vol 3
(2)
◽
pp. 50
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2021 ◽
2021 ◽
Vol 1988
(1)
◽
pp. 012031