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Inference of weak-form partial differential equations describing migration and proliferation mechanisms in wound healing experiments on cancer cells. [PDF]
PLoS Comput BiolSrivastava S +9 more
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A novel adaptive multi-scale wavelet Galerkin method for solving fuzzy hybrid differential equations. [PDF]
Sci RepMurugesh V +7 more
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Reconstructing noisy gene regulation dynamics using extrinsic-noise-driven neural stochastic differential equations. [PDF]
PLoS Comput BiolZhang J +8 more
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Stochastic differential equations
Physics Reports, 1976Abstract In chapter I stochastic differential equations are defined and classified, and their occurrence in physics is reviewed. In chapter II it is shown for linear equation show a differential equation for the averaged solution is obtained by expanding in ατ c , where α measures the size of the fluctuations and τ c their autocorrelation time. This
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Multivalued Differential Equations and Ordinary Differential Equations
SIAM Journal on Applied Mathematics, 1970(E) e F(x, t), where F is upper semicontinuous, from known results in the theory of ordinary differential equations. This will be accomplished by showing that, for any F upper semicontinuous and convex, it is always possible to "approximate" the multivalued differential equation (E) by appropriately chosen ordinary differential equations. This would be
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The Mathematical Gazette, 1945
1. We deal with the equation where ψ(ωt) is continuous, periodic in t with period 2π/ω a,
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1. We deal with the equation where ψ(ωt) is continuous, periodic in t with period 2π/ω a,
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1966
Publisher Summary This chapter focuses on higher-order linear equations. Even for second-order linear equations, no general method of solution is available as there was for first-order equations. Formulas for general solutions can be found for certain special classes of higher-order equations.
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Publisher Summary This chapter focuses on higher-order linear equations. Even for second-order linear equations, no general method of solution is available as there was for first-order equations. Formulas for general solutions can be found for certain special classes of higher-order equations.
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2011
This chapter introduces numerical methods that can be used on problems that are too hard to solve by standard algebra, such as finding roots of complicated equations. It demonstrates numerical methods for solving a first-order ordinary differential equations (ODE) with an initial condition.
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This chapter introduces numerical methods that can be used on problems that are too hard to solve by standard algebra, such as finding roots of complicated equations. It demonstrates numerical methods for solving a first-order ordinary differential equations (ODE) with an initial condition.
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Ordinary Differential Equations
2012In this chapter we provide an overview of the basic theory of ordinary differential equations (ODE). We give the basics of analytical methods for their solutions and also review numerical methods. The chapter should serve as a primer for the basic application of ODEs and systems of ODEs in practice.
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Magnetic Differential Equations
The Physics of Fluids, 1959A necessary and sufficient condition is derived for a magnetic differential equation B·▿r = 0 to have a single-valued solution r, where B is the field of a magnetohydrostatic equilibrium state or, more generally, and field with a system of toroidal magnetic surfaces.
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