Semi-Implicit Numerical Integration of Boundary Value Problems
The numerical solution to boundary differential problems is a crucial task in modern applied mathematics. Usually, implicit integration methods are applied to solve this class of problems due to their high numerical stability and convergence.
Valery Andreev +4 more
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The aim of this thesis is the analytical study and the development of a numerical method to solve a non-linear, integro-differential boundary value problem on the half line which is representative of a class of non-standard integral equations where the ...
Basile, Mariateresa
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A qualitative result for higher-order discontinuous implicit differential equations
Paolo Cubiotti
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On Liapunov transformations of linear systems of implicit differential equations
An asymptotical equivalence of linear systems of implicit differential equations is investigated. Sufficient conditions to transform a linear system of implicit differential equations to a system of specal type are ...
Mazanik, S. A.
core
Spatio-temporal numerical modelling of whooping cough dynamics
This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.The SIR (Susceptible/Infectious/Recovered) whooping cough model involving nonlinear ordinary differential equations is studied and extended to incorporate (
Piyawong, Wirawan
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THE ZHOU’S METHOD FOR SOLVING THE NONLINEAR LANE-EMDEN TYPE EQUATIONS: A SPECIAL CASE
In this work we apply the differential transformation method (the Zhou’s method) for solving some classes of Lane- Emden type equations as a model for the dimensionless density distribution in an isothermal gas sphere, which are nonlinear ordinary ...
Pedro P. Cárdenas +2 more
doaj
Stability analysis of nonlinear algebraic-differential equations with 2-delays and numerical methods. [PDF]
Liao H, Li Q, Xia X, Tang D.
europepmc +1 more source
Qualitative analysis and numerical simulation of ABC fractional impulsive differential systems with implicit nonlinear terms and integral boundary conditions. [PDF]
Sharif AA, Hamood M, Ghadle KP.
europepmc +1 more source
Linearly Implicit Finite Element Methods Approximating the Solution to the Nonlinear Schrödinger Equation with a Schamel-Type Nonlinearity. [PDF]
Paraschis P, Zouraris GE.
europepmc +1 more source
Implicit methods for the simple wave equation
A family of finite difference methods is developed for the numerical solution of the simple wave equation. Local truncation errors are cal- culated for each member of the family and each is analyzed for stability.
Tirmizi, S I A, Twizell, E H
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