method of equation

  • 41Stiff equation — In mathematics, a stiff equation is a differential equation for which certain numerical methods for solving the equation are numerically unstable, unless the step size is taken to be extremely small. It has proven difficult to formulate a precise …

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  • 42Ordinary differential equation — In mathematics, an ordinary differential equation (or ODE) is a relation that contains functions of only one independent variable, and one or more of their derivatives with respect to that variable. A simple example is Newton s second law of… …

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  • 43Galerkin method — In mathematics, in the area of numerical analysis, Galerkin methods are a class of methods for converting a continuous operator problem (such as a differential equation) to a discrete problem. In principle, it is the equivalent of applying the… …

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  • 44Benesi-Hildebrand method — The Benesi Hildebrand method is a mathematical approach used in the determination of the equilibrium constant K and stoichiometry of nonbonding interactions. This method has been typically used to study reaction equilibriums that form 1:1 guest… …

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  • 45Finite element method — The finite element method (FEM) (sometimes referred to as finite element analysis) is a numerical technique for finding approximate solutions of partial differential equations (PDE) as well as of integral equations. The solution approach is based …

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  • 46Chakravala method — The chakravala method (Hindi: चक्रवाल विधि) is a cyclic algorithm to solve indeterminate quadratic equations, including Pell s equation. It is commonly attributed to Bhāskara II, (c. 1114 – 1185 CE)[1][2] although some attribute it to Jayadeva (c …

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  • 47Frobenius solution to the hypergeometric equation — In the following we solve the second order differential equation called the hypergeometric differential equation using Frobenius method, named after Ferdinand Georg Frobenius. This is a method that uses the series solution for a differential… …

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  • 48Quintic equation — In mathematics, a quintic equation is a polynomial equation of degree five. It is of the form::ax^5+bx^4+cx^3+dx^2+ex+f=0, where a e 0.(if a = 0, then the equation becomes a quartic equation). (if a and b = 0, then the equation becomes a cubic… …

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  • 49Linear differential equation — In mathematics, a linear differential equation is a differential equation of the form: Ly = f ,where the differential operator L is a linear operator, y is the unknown function, and the right hand side fnof; is a given function (called the source …

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  • 50Numerov's method — is a numerical method to solve ordinary differential equations of second order in which the first order term does not appear. It is a fourth order linear multistep method. The method is implicit, but can be made explicit if the differential… …

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