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Neville J. Ford
Researcher at University of Chester
Publications - 106
Citations - 9128
Neville J. Ford is an academic researcher from University of Chester. The author has contributed to research in topics: Numerical analysis & Differential equation. The author has an hindex of 30, co-authored 105 publications receiving 8159 citations. Previous affiliations of Neville J. Ford include Chester College of New England.
Papers
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Journal ArticleDOI
Analysis of Fractional Differential Equations
Kai Diethelm,Neville J. Ford +1 more
TL;DR: In this paper, the authors discuss existence, uniqueness, and structural stability of solutions of nonlinear differential equations of fractional order, and investigate the dependence of the solution on the order of the differential equation and on the initial condition.
Book
A Predictor-Corrector Approach for the Numerical Solution of Fractional Differential Equations
TL;DR: In this paper, an Adams-type predictor-corrector method for the numerical solution of fractional differential equations is discussed, which may be used both for linear and nonlinear problems, and it may be extended tomulti-term equations (involving more than one differential operator) too.
Journal ArticleDOI
Detailed error analysis for a fractional Adams method
TL;DR: The numerical method can be seen as a generalization of the classical one-step Adams–Bashforth–Moulton scheme for first-order equations and a detailed error analysis is given.
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Algorithms for the fractional calculus: A selection of numerical methods
TL;DR: In this article, a collection of numerical algorithms for the solution of various problems arising in fractional models is presented, which will give the engineer the necessary tools required to work with fractional model in an efficient way.
Journal ArticleDOI
Multi-order fractional differential equations and their numerical solution
Kai Diethelm,Neville J. Ford +1 more
TL;DR: The analytical questions of existence and uniqueness of solutions are discussed, and how the solutions depend on the given data are investigated, and convergent and stable numerical methods are proposed for such initial value problems.