Results 81 to 90 of about 9,706 (180)
Sufficient conditions for uniformly second-order convergent schemes for stiff initial-value problems
, 1992 We present a convergence analysis for a class of one-step, exponentially fitted, finite difference schemes for stiff initial-value problems. Such schemes, when applied to the numerical integration of the linear scalar problem ϵy′ + a(x)y = f(x), x∈ (0, X)
Carroll, John
core +1 more source
A Class of A-Stable Order Four and Six Linear Multistep Methods for Stiff Initial Value Problems
, 2013 A new three and five step block linear methods based on the Adams family for the direct solution of stiff initial value problems (IVPs) are proposed. The main methods together with the additional methods which constitute the block methods are derived via
G.M, Kumleng, S, Longwap, O, Adee S.
core
, 2005 Compared with standard numerical methods for initial value problems (IVPs) for ordinary differential equations (ODEs), validated methods not only compute a numerical solution to a problem, but also generate a guaranteed bound on the global error ...
Annie Hsiao Chen Yuk
core
An MEBDF package for the numerical solution of large sparse systems of stiff initial value problems
, 2001 An efficient algorithm for the numerical integration of large sparse systems of stiff initial value ordinary differential equations (ODEs) and differential-algebraic equations (DAEs) is described.
Abdulla, T.J. +2 more
core +1 more source
A new approach to solving nonstiff initial-value problems
, 1993 Predictor-corrector formulae requiring three function evaluations per integration step are derived for the numerical solution of nonstiff initial-value problems for ordinary differential equations.
Cash, J.R., Semnani, S.
core +1 more source
A novel, enhanced two-point block backward differentiation formula has been devised for solving stiff initial value problems of ordinary differential equations, boasting superior stability properties, including zero-stability and near A-stability ...
Adamu Abdulrahman, Musa Hamisu
core
, 1979 In [1] the Reduction to Scalar CDS method for the solution of separably stiff initial value problems is proposed. In this paper an improved version is given that is equivalent for linear problems but considerably superior for nonlinear problems.
Peter Alfeld
core +1 more source
A Second Derivative Simpson's Method for Solving Initial Value Problems with Stiff
International Journal of Development Mathematics (IJDM)Collocation and interpolation of power series approximation solution is used to develop a continuous hybrid Second Derivative of Simpson's scheme with four off-grid points for the solution of the Stiff System of ordinary differential equations (ODEs).
Sunday Samuel +3 more
openaire +1 more source
Rational one-step methods for initial value problems
, 1988 First, second and third order explicit nonlinear one-step methods are proposed for singular and stiff initial value problems (ivp's). The algorithms are based on the representation of the solution by a finite continued fraction.
van Niekerk, F.D.
core +1 more source
Comparison of Numerical Methods for Solving Initial Value Problems for Stiff Differential Equations
, 1970 Special classes of Initial value problem of differential equations termed as stiff differential equations occur naturally in a wide variety of applications including the studies of spring and damping systems, chemical kinetics, electrical circuits, and ...
Azad Rahman, Sharaban Thohura
core +1 more source