L-stable block hybrid numerical algorithm for first-order ordinary differential equations

BI Akinnukawe, KO Muka - Journal of the Nigerian Society of …, 2020 - journal.nsps.org.ng
In this work, a one-step L-stable Block Hybrid Multistep Method (BHMM) of order five was
developed. The method is constructed for solving first order Ordinary Differential Equations …

Exponentially fitted third derivative three-step methods for numerical integration of stiff initial value problems

CE Abhulimen - Applied Mathematics and Computation, 2014 - Elsevier
In this paper, we consider the construction of exponentially fitted third derivative three-step
method of order six for the numerical integration of stiff initial-value problems. The numerical …

[PDF][PDF] Block third derivative trigonometrically-fitted methods for stiff and periodic problems

R Abdulganiy, O Akinfenwa, O Yusuff… - Journal of the …, 2020 - researchgate.net
This article constructed and implemented a family of a third derivative trigonometric fitted
method of order k+ 3 whose coefficients are functions of frequency and step size for the …

[PDF][PDF] A class of exponentially fitted second derivative extended backward differentiation formula for solving stiff problems

JO Ehigie, SA Okunuga, AB Sofoluwe - Fasciculi Mathematici, 2013 - researchgate.net
An exponentially fitted second derivative extended backward differentiation formula
(SDEBDF) is derived from the class of composite, multiderivative linear multistep method …

An exponential fitting predictor-corrector formula for stiff systems of ordinary differential equations

CE Abhulimen - International Journal of Computational and Applied …, 2009 - go.gale.com
In this paper, we developed exponential fitting third derivative predictor-corrector formula
suitable for stiff systems of ordinary differential equations. The resultant integration formula is …

[PDF][PDF] A New Class of Third Derivative Fourth-Step Exponential Fitting Numerical Integrator for Stiff Differential Equations

CE Abhulimen, LA Ukpebor - International Journal of Mathematical …, 2018 - ajol.info
In this paper, we construct a new class of four-step third derivative exponential fitting
integrator of order six for the numerical integration of stiff initial-value problems of the type …

[PDF][PDF] CONTINUOUS FOURTH DERIVATIVE BLOCK METHOD FOR SOLVING STIFF SYSTEMS FIRST ORDER ORDINARY DIFFERENTIAL EQUATIONS (ODEs)

LA Ukpebor, LO Adoghe - Abacus (Mathematics Science Series …, 2019 - man-nigeria.org.ng
This paper presents k-point continuous fourth derivative block methods (CFDBM) of order k+
4 for the solution of stiff systems of ordinary differential equations. The approach uses the …

[HTML][HTML] Proficiency of Second Derivative Schemes for the Numerical Solution of Stiff Systems

J Adewale, A Olaide, O Oziohu, S Joshua… - American Journal of …, 2018 - scirp.org
This paper presents a study on the development and implementation of a second derivative
method for the solution of stiff first order initial value problems of ordinary differential …

[PDF][PDF] A Two-Step Hybrid Nonlinear Multistep Method for the Solution of Stiff and Singular First Order Initial Value Problems

AM Alkali, D Umar, S Adamu… - The Pacific Journal of …, 2020 - researchgate.net
In this paper, the development of two-step hybrid non-linear method for the solution of stiff
and singular first order initial value problems of ordinary differential equations using Pade …

[PDF][PDF] A new class of second derivative methods for numerical integration of stiff initial value problems

CE Abhulimen, LA Ukpebor - Journal of the Nigerian Mathematical Society, 2019 - ojs.ictp.it
A new class of four-step second derivative exponential fitting method of order six for the
numerical integration of stiff initial-value problems in ordinary differential equations was …