Results 41 to 50 of about 9,706 (180)
The block backward differentiation method of finding solution to stiff Initial Value Problems (IVPs)
, 2021 In this paper research work we designed Block Backward Differential Formulas (BBDFs) that is able to generate solutions to stiff Initial Value Problems (IVPs) using Lagrangian Interpolation Method. The region of absolute stability (RAS) was also obtained.
Ebhohimen, F., Anetor, O.
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A new multistage technique for approximate analytical solution of nonlinear differential equations
Heliyon, 2020 The article introduces a new multistage technique for solving a polynomial system of nonlinear initial and boundary value problems of differential equations.
Saheed Ojo Akindeinde
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UMYU Scientifica JournalThis paper presents a comprehensive analysis of the diagonally implicit 3-point block backward differentiation formula (BDF) for solving first-order stiff initial value problems.
Buhari Alhassan +2 more
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A Class of Two-Derivative Two-Step Runge-Kutta Methods for Non-Stiff ODEs
Journal of Applied Mathematics, 2019 In this paper, a new class of two-derivative two-step Runge-Kutta (TDTSRK) methods for the numerical solution of non-stiff initial value problems (IVPs) in ordinary differential equation (ODEs) is considered.
I. B. Aiguobasimwin, R. I. Okuonghae
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, 2022 We propose a new hybrid method by embedding the extended four-step backward differentiation formulae of Akinfenwa & Jator (2015) into a one-step method by a continuous approximation via multistep collocation technique for the solution of first-order ...
Kumleng, GM, Adee, SO, Patrick, PP
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High order boundary value linear multistep method for the numerical solution of IVPs in ODEs
Journal of Nigerian Society of Physical SciencesIn this paper, we introduce High order boundary value linear multistep method (HOBVLMM) for the numerical solution of stiff systems of initial value problems (IVPs).
Seun Ogunfeyitimi +2 more
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Continuous Runge–Kutta schemes for pantograph type delay differential equations
Partial Differential Equations in Applied MathematicsPantograph differential equations are important types of delay differential equations. Using continuous mono-implicit RK schemes, we propose a numerical method for numerically approximating pantograph delay differential equations that are reliable and ...
Fathalla A. Rihan
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A New Numerical Method for Solving Stiff Initial Value Problems
Fluid Mechanics: Open Access, 2016 A new numerical method that computes 2–points simultaneously at each step of integration is derived. The numerical scheme is achieved by modifying an existing DI2BBDF method. The method is of order 2. The stability analysis of the new method indicates that it is both zero and A–stable, implying that it is suitable for stiff problems.
Bature Babangida, Musa H, Kane IL
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Converting DAE models to ODE models: application to reactive Rayleigh distillation [PDF]
, 2013 This paper illustrates the application of an index reduction method to some differential algebraic equations (DAE) modelling the reactive Rayleigh distillation.
Monfreda, Fabien +3 more
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A fourth order exponentially-fitted multiderivative method for Stiff initial value problems
, 2008 A class of fourth order exponential–fitted multiderivative method for the numerical integration of stiff initial value problems is designed. The method is derived with certain free parameters ‘a' and ‘b', which allow it to be fitted automatically to ...
FO Otunta +3 more
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