Global extrapolation procedures for special and general initial value problems [PDF]
, 1986 Two- and three- grid global extrapolation procedures are considered fohe special and general initial value problems of arbitrary order r tq. Extrapolation formulas are developed for consistent numerical methods of arbitrary order p .
Khaliq, AQM, Twizell, EH
core +6 more sources
A note on phase-lag computations for multiderivative methods for second order periodic initial value problems [PDF]
, 1985 Phase—lag computations are carried out for a family of two-step multiderivative methods for solving second order initial value problems of the form y" = f(t,y), y(t0) = y0, y'(t0) = z0.
Twizell, E H
core +6 more sources
Multiderivative methods for periodic initial value problems [PDF]
, 1982 A family of two-step multiderivative methods based on Pade approximants to the exponential function is developed. The methods are analysed and periodicity intervals in PECE mode are calculated.
Khaliq, AQM, Twizell, EH
core +6 more sources
Finite-difference solutions of tenth-order boundary-value problems [PDF]
, 1994 This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.In this thesis finite difference methods are used to obtain numerical solutions for a class of high-order ordinary differential equations with applications ...
Siddiqui, Aijaz Ahmad
core +7 more sources
Embedded Exponentially-Fitted Explicit Runge-Kutta-Nyström Methods for Solving Periodic Problems
Computation, 2020 In this work, a pair of embedded explicit exponentially-fitted Runge–Kutta–Nyström methods is formulated for solving special second-order ordinary differential equations (ODEs) with periodic solutions.
Musa Ahmed Demba +3 more
doaj +1 more source
Finite element solutions to boundary value problems [PDF]
, 1976 This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.This thesis consists of two distinct parts which deal with two-point boundary value problems and parabolic problems, respectively.
Moore, P
core +7 more sources
Adaptive Piecewise Poly-Sinc Methods for Ordinary Differential Equations
Algorithms, 2022 We propose a new method of adaptive piecewise approximation based on Sinc points for ordinary differential equations. The adaptive method is a piecewise collocation method which utilizes Poly-Sinc interpolation to reach a preset level of accuracy for the
Omar Khalil +3 more
doaj +1 more source
Resolution of Initial Value Problems of Ordinary Differential Equations Systems
Mathematics, 2022 In this work, we present some techniques applicable to Initial Value Problems when solving a System of Ordinary Differential Equations (ODE). Such techniques should be used when applying adaptive step-size numerical methods.
Josep Vicent Arnau i Córdoba +1 more
doaj +1 more source
Hybrid Initial Value Problems of Fractional Order with q-Derivatives
Journal of Mathematics, 2022 In the present article, it has been tried to extend the theory of q-fractional hybrid differential equations that entails Riemann–Liouville q-differential operators.
Roja Mahmoudi Matankolae +4 more
doaj +1 more source
New properties of the time-scale fractional operators with application to dynamic equations [PDF]
Mathematica Moravica, 2021 We introduce new properties of Riemann-Liouville fractional integral and derivative on time scales. As well as sufficient conditions for existence and uniqueness of solution to an initial value problem for a class differential equations on time scales.
Benaissa Cherif Amin +1 more
doaj +1 more source