1. The calculation method uses partial differential equation.

2. The Advection diffusion equation is the partial differential equation $$\frac{\partial C}{\partial t} = D\frac{\partial^2 C}{\partial x^2} - v \frac{\partial C}{\partial x}$$ with the boundary cond

3. This is a special case of a separable partial differential equation.

4. In mathematics, a (real) Monge–Ampère equation is a nonlinear second-order partial differential equation of special kind.

5. The Hamilton–Jacobi–Bellman (HJB) equation is a partial differential equation which is central to optimal control theory.

6. The steady state is here regarded as the solution of a partial differential-algebraic equation.

7. The use of a certain pressure law leads to a partial differential equation for the motion.

8. A multispectral bioluminescence optical tomography algorithm makes use of a partial differential equation (PDE) constrained approach.

9. Differential equations containing partial derivatives are called partial differential equations or PDEs.

10. This nonlinear partial differential equation is resolved by perturbation theory for the particular case of a homogeneous system.

11. It will be represented a general method to derive difference-equation for numerical solution of partial differential-equations.

12. What is the differential equation?

13. A differential equation is simply an equation that contains a derivate.

14. Numerical Treatment of Partial Differential Equations.

15. Let's say this is my differential equation.

16. An algorithm is developed, analogous to a partial differential equation of first order, to describe elements of the path of every contact point.

17. So, for example, this is a differential equation.

18. So how do we solve this differential equation?

19. The swing equation of the machine is a third-order nonlinear differential equation.

20. The Galerkin formulation is applied to the differential equation.

21. This kind of relationship is called a differential equation.

22. An ordinary differential equation is what I wrote down.

23. The differential equation must be at least first-order

24. This differential equation is the classic equation of motion of a charged particle in vacuum.

25. So this is the general solution to this differential equation.

26. We're talking about books on hypergeometric partial differential equations.

27. He was primarily engaged in research on partial differential equations, differential geometry, solitons, and mathematical physics.

28. So the first question is: what is a differential equation?

29. It is a particular case of the Lagrange differential equation.

30. The solution of the non-linear partial differential equation for the magnetic vector potential is obtained by finite difference techniques using line iteration and acceleration of convergence.

31. But I am telling you, an ordinary differential equation supports this.

32. There is emphasis on partial differential equations and their applications.

33. In continuous-time MDP, if the state space and action space are continuous, the optimal criterion could be found by solving Hamilton–Jacobi–Bellman (HJB) partial differential equation.

34. Resolving a differential equation means finding the functions that satisfy it.

35. That is our simple differential equation that models continuous compounded interest.

36. Key words: Kantorovich method, spline function, partial differential equations, ordinary differential equations, point collocation method, bridge deck.

37. His research areas ranging from the mechanics of differential geometry and partial differential equations to numerical mathematics.

38. §15.5(ii) Contiguous Functions Keywords: Contiguous , equivalent equation for Contiguous functions , hypergeometric differential equation , hypergeometric function , recurrence relations

39. Simon Brendle (born June 1981) is a German mathematician working in differential geometry and nonlinear partial differential equations.

40. This example demonstrates the use of lsode, an ordinary differential equation solver.

41. I'm telling you, the Lenwoloppali Differential Equation Scanner meets a real need.

42. Now, all of the sudden, I have a non- linear differential equation.

43. Well actually, there's a first big one, ordinary and partial differential equations.

44. Hydrodynamic-type systems are systems of first-order quasilinear partial differential equations.

45. The elliptical drumhead was studied by Émile Mathieu, leading to Mathieu's differential equation.

46. The resulting model, in terms of a stochastic differential equation, is solved analytically.

47. A differential equation is developed and solved, describing this phase of the impact.

48. So once we solve this differential equation, and this is a separable differential equation, then we can use this initial condition, when x is 0, y is 1, to figure out the constant.

49. The solutions of this differential equation have singularities unless λ takes on specific values.

50. Humidity field in the concrete may be found by solving the diffusion differential equation.

51. There are also some studies combining m-D systems with partial differential equations (PDEs).

52. Techniques and concepts from geometric measure theory are used to solve partial differential equations.

53. The consequences of this change are constant coefficients in a linear ordinary differential equation system.

54. We consider initial boundary value problems for first order impulsive partial differential-functional equations.

55. In mathematics, the method of characteristics is a technique for solving partial differential equations.

56. Different processes composing Brownian and fractional Brownian motion were studied using partial differential equations.

57. The generator potential is to be described by a linear differential equation of second order.

58. A more thorough analysis of this inhomogeneous differential equation leads to a modified Hill determinant.

59. A solution to the differential equation may be found by the usual series expansion method.

60. Two applications are given, to hamiltonian differential systems and to a variant of the wave equation.

61. Then the equation of state and partial excess chemical potential for binary system is developed.

62. This was achieved by using variational methods and non-linear partial differential equations of brightness.

63. In a first part are described several enzyme systems, together with their (partial differential) equations.

64. And we know a solution of our original differential equation is psi is equal to c.

65. In most cases, already the linearized form of this differential equation yields solutions of sufficient accuracy.

66. Based on the theory of stochastic differential equation, the physical property of price model was proved.

67. These models are nonlinear system of Conformable fractional differential equation (CFDE) that has no analytic solution.

68. His research is concerned with the mathematical analysis of numerical algorithms for nonlinear partial differential equations.

69. The explicit calculation of normal coordinates can be accomplished by considering the differential equation satisfied by geodesics.

70. His domains of expertise in Applied Mathematics include Partial Differential Equations, Control Theory and Numerical Analysis.

71. A digitally-configurable analog vlsi chip and method for real-time solution of partial differential equations

72. Linear elliptic partial differential equations can be characterized as those whose principal symbol is nowhere zero.

73. The description of the theoretical model by an integro-differential equation shows interactions between those three different phenomena.

74. This paper considers the Asymptotical synchronization of coupled nonlinear impulsive partial differential systems (PDSs) in complex networks

75. The complete model thus consists of a closed set of four coupled non-linear partial differential equations.

76. A system of partial differential equations (PDE) translates - or "models" - this complex of phenomena into mathematical terms.

77. The partial differential equations governing the flow have been transformed into new co-ordinates having finite range.

78. The idea is to replace the derivatives appearing in the differential equation by finite differences that approximate them.

79. Two new three step formulae are introduced for the numerical integration of a first order ordinary differential equation.

80. The differential equation given by Herring for the case of the forced vibrations is completed and solved numerically.