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Ordinary differential equation and Partial differential equation

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Ordinary differential equation and Partial differential equation

Ordinary differential equation vs. Partial differential equation

In mathematics, an ordinary differential equation (ODE) is a differential equation containing one or more functions of one independent variable and its derivatives. In mathematics, a partial differential equation (PDE) is a differential equation that contains unknown multivariable functions and their partial derivatives.

Similarities between Ordinary differential equation and Partial differential equation

Ordinary differential equation and Partial differential equation have 19 things in common (in Unionpedia): Bäcklund transform, Boundary value problem, Contact geometry, Derivative, Differential equation, Differential geometry, Group theory, Infinitesimal transformation, Laplace transform applied to differential equations, Lax pair, Lie algebra, Lie group, Lie theory, List of dynamical systems and differential equations topics, Mathematics, Matrix differential equation, Picard–Lindelöf theorem, Recurrence relation, Sophus Lie.

Bäcklund transform

In mathematics, Bäcklund transforms or Bäcklund transformations (named after the Swedish mathematician Albert Victor Bäcklund) relate partial differential equations and their solutions.

Bäcklund transform and Ordinary differential equation · Bäcklund transform and Partial differential equation · See more »

Boundary value problem

In mathematics, in the field of differential equations, a boundary value problem is a differential equation together with a set of additional constraints, called the boundary conditions.

Boundary value problem and Ordinary differential equation · Boundary value problem and Partial differential equation · See more »

Contact geometry

In mathematics, contact geometry is the study of a geometric structure on smooth manifolds given by a hyperplane distribution in the tangent bundle satisfying a condition called 'complete non-integrability'.

Contact geometry and Ordinary differential equation · Contact geometry and Partial differential equation · See more »

Derivative

The derivative of a function of a real variable measures the sensitivity to change of the function value (output value) with respect to a change in its argument (input value).

Derivative and Ordinary differential equation · Derivative and Partial differential equation · See more »

Differential equation

A differential equation is a mathematical equation that relates some function with its derivatives.

Differential equation and Ordinary differential equation · Differential equation and Partial differential equation · See more »

Differential geometry

Differential geometry is a mathematical discipline that uses the techniques of differential calculus, integral calculus, linear algebra and multilinear algebra to study problems in geometry.

Differential geometry and Ordinary differential equation · Differential geometry and Partial differential equation · See more »

Group theory

In mathematics and abstract algebra, group theory studies the algebraic structures known as groups.

Group theory and Ordinary differential equation · Group theory and Partial differential equation · See more »

Infinitesimal transformation

In mathematics, an infinitesimal transformation is a limiting form of small transformation.

Infinitesimal transformation and Ordinary differential equation · Infinitesimal transformation and Partial differential equation · See more »

Laplace transform applied to differential equations

The Laplace transform is a powerful integral transform used to switch a function from the time domain to the s-domain.

Laplace transform applied to differential equations and Ordinary differential equation · Laplace transform applied to differential equations and Partial differential equation · See more »

Lax pair

In mathematics, in the theory of integrable systems, a Lax pair is a pair of time-dependent matrices or operators that satisfy a corresponding differential equation, called the Lax equation.

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Lie algebra

In mathematics, a Lie algebra (pronounced "Lee") is a vector space \mathfrak g together with a non-associative, alternating bilinear map \mathfrak g \times \mathfrak g \rightarrow \mathfrak g; (x, y) \mapsto, called the Lie bracket, satisfying the Jacobi identity.

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Lie group

In mathematics, a Lie group (pronounced "Lee") is a group that is also a differentiable manifold, with the property that the group operations are compatible with the smooth structure.

Lie group and Ordinary differential equation · Lie group and Partial differential equation · See more »

Lie theory

In mathematics, the researcher Sophus Lie initiated lines of study involving integration of differential equations, transformation groups, and contact of spheres that have come to be called Lie theory.

Lie theory and Ordinary differential equation · Lie theory and Partial differential equation · See more »

List of dynamical systems and differential equations topics

This is a list of dynamical system and differential equation topics, by Wikipedia page.

List of dynamical systems and differential equations topics and Ordinary differential equation · List of dynamical systems and differential equations topics and Partial differential equation · See more »

Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

Mathematics and Ordinary differential equation · Mathematics and Partial differential equation · See more »

Matrix differential equation

A differential equation is a mathematical equation for an unknown function of one or several variables that relates the values of the function itself and of its derivatives of various orders.

Matrix differential equation and Ordinary differential equation · Matrix differential equation and Partial differential equation · See more »

Picard–Lindelöf theorem

In mathematics, in the study of differential equations, the Picard–Lindelöf theorem, Picard's existence theorem or Cauchy–Lipschitz theorem is an important theorem on existence and uniqueness of solutions to first-order equations with given initial conditions.

Ordinary differential equation and Picard–Lindelöf theorem · Partial differential equation and Picard–Lindelöf theorem · See more »

Recurrence relation

In mathematics, a recurrence relation is an equation that recursively defines a sequence or multidimensional array of values, once one or more initial terms are given: each further term of the sequence or array is defined as a function of the preceding terms.

Ordinary differential equation and Recurrence relation · Partial differential equation and Recurrence relation · See more »

Sophus Lie

Marius Sophus Lie (17 December 1842 – 18 February 1899) was a Norwegian mathematician.

Ordinary differential equation and Sophus Lie · Partial differential equation and Sophus Lie · See more »

The list above answers the following questions

Ordinary differential equation and Partial differential equation Comparison

Ordinary differential equation has 135 relations, while Partial differential equation has 121. As they have in common 19, the Jaccard index is 7.42% = 19 / (135 + 121).

References

This article shows the relationship between Ordinary differential equation and Partial differential equation. To access each article from which the information was extracted, please visit:

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