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Stephen Wolfram
Mathematics
>
Calculus and Analysis
>
Differential Equations
ITEMS
127
items are in this category. Listing
all
items:
An Aftertreatment Technique for Improving the Accuracy of Adomian's Decomposition Method
Algorithm 924: TIDES, a Taylor Series Integrator for Differential EquationS
An Algorithm to Determine Potential Systems in
Mathematica
Algorithms of Symbolic Computation Used in Stability Analysis
All the
Mathematica
You May Ever Need for ODEs
Analysis of Periodic Oscillations with Computer Algebra
Applications of
Mathematica
for solving analytical problems in theory of shells
Applying a List of Functions to an Argument: A Dual of Map
Applying the Perturbation Method of MultipleScales
Approximate solutions of boundaryvalue problems using computer algebra software
Asymptotic Behavior and its Visualization of the Solutions of Intermittently and Impulsively Damped Nonlinear Oscillator Equations
An Automated TanhFunction Method for Finding Solitary Wave Solutions to NonLinear Evolution Equations
Book Review: Partial Differential Equations with
Mathematica
Book Reviews: Differential Equations with
Mathematica
Boundary elements with
Mathematica
Boundary Modulation with
Mathematica
Calculation of Weights in Finite Difference Formulas
Calculation of xray wave fields in perfect crystals by applying Riemann's method to solve the TakagiTaupin equations
Computation of Conservation Laws for Nonlinear Lattices
Computation of Conserved Densities for Systems of Nonlinear DifferentialDifference Equations
Computation of highgain observers for nonlinear systems using automatic differentiation
Computation of HigherOrder Symmetries for Nonlinear Evolution and Lattice Equations
Computer Symbolic Algebra Solutions of Second Order Differential Equations
CP Methods for the Schrödinger Equation Revisited
Design for the Safety of Recreational Water Slides
Designing an algorithm for the series solution of nth order linear ODEs with polynomial coefficients
Detection of Bifurcation Structures by HighOrder Averaging for Duffing's Equation
Diffraction of Water Waves Due to a Presence of Two Headlands
Eigenvalues to arbitrary precision for onedimensional Schrödinger equations by the shooting method using integer arithmetic
Elliptic BakerAkhiezer Functions and an Application to an Integrable Dynamical System
Energy and Contour Plots for Qualitative Analysis of Nonlinear Differential Equations
Explicit Analytical Solution of the Nonlinear VlasovPoisson System
Exploring the Complex Plane: Green's Functions, Hilbert Transforms, and Analytic Continuation
Exterior Calculus for Vectors and Forms
First Order ODEs:
Mathematica
and SymbolicNumerical Methods
FourthOrder Differential Equation Satisfied by the Associated of Any Order of All Classical Orthogonal Polynomials. A Study of Their Distribution of Zeros
Fourthorder Differential Equations Satisfied by the Generalized Corecursive of all Classical Orthogonal Polynomials. A Study of Their Distribution of Zeros
Generalized Boundary Problem for OneDimensional Random Walks
Giving Meaning to the Circular Membrane Problem with
Mathematica
A HalfExplicit RungeKutta Method of Order 5 for Solving Constrained Mechanical Systems
HalfExplicit RungeKutta Methods for DifferentialAlgebraic Systems of Index 2
Heteroclinic Cycles and Modulated Travelling Waves in a System with D4 Symmetry
A heuristic method for the resummation of perturbation series
A high order perturbation analysis of the Sitnikov problem
Higher Order Normal Form and Period Averaging
A higherorder finite difference method for solving a system of integrodifferential equations
Hybrid solvers for composition and splitting methods
Hyperasymptotics
The identification problem for transcendental functions
Illustrating Solutions to 2D Partial Differential Equations
Increment formulations for rounding error reduction in the numerical solution of structured differential systems
Invariants and Symmetries for Partial Differential Equations and Lattices
Kranc: a
Mathematica
package to generate numerical codes for tensorial evolution equations
Learning about Differential Equations from Their Symmetries
Mathematica
in Action: Check Your Answers... But How?
Mathematica
in the Classroom: New Tools for Exploring Precalculus and Differential Calculus
Mathematica
Notebooks for a Conventional Differential Equations Course
A
Mathematica
program for the approximate analytical solution to a nonlinear undamped Duffing equation by a new approximate approach
Mathematica
Solution of Rayleigh Equation in NonLinear Vibration
MathLie: A Program of Doing Symmetry Analysis
A Method for Solving Inverse BoundaryValue Problems Using Symbolic Computation
N = 2 Super Boussinesq Hierarchy: Lax Pairs and Conservation Laws
New Explicit and Exact Travelling Wave Solutions for a System of Variant Boussinesq Equations in Mathematical Physics
A new symbolic method for solving linear twopoint boundary value problems on the level of operators
Nonlinear 2Point BoundaryValue Problems with Applications in Science and Engineering
Normal form computation without central manifold reduction
Normal forms and integrability of ODE systems
Numerical solutions of distributed diffusion Hopfield neural network equations
On numerical doubly periodic wave solutions of the coupled Drinfeld–Sokolov–Wilson equation by the decomposition method
On numerical soliton solution of the Kaup–Kupershmidt equation and convergence analysis of the decomposition method
On symbolic derivation of the cumulant equations
On the Calculation of Coupling Coefficients in Amplitude Equations
An Optimal Algorithm for Certain Boundary Value Problem
Order Stars and Linear Stability Theory
Ordering Rules for Double and Triple Eigenseries in the Solution of Multidimensional Heat and Fluid Flow Problems
Partial Differential Equations and Bivariate Orthogonal Polynomials
Path Integral Methods for Parabolic Partial Differential Equations with Examples from Computational Finance
Planar Phase Plots and Bifurcation Animations
The Positive Definiteness of a Class of Polynomials from the Global Stability Analysis of LotkaVolterra Systems
Power Series Approximation to Solutions of Nonlinear Systems of Differential Equations
Power Series Solution of Linear and Nonlinear Partial Differential Equations Via Symbolic Programming
Radiation reduction of optical solitons resulting from higher order dispersion terms in the nonlinear Schrodinger equation
Realizations of Nonlinear Systems
Research of the Periodic Solutions of the HénonHeiles Nonintegrable Hamiltonian System by the LindstedtPoincaré Method
Residue Curve Map Calculation of a Ternary Mixture
RestartingNDSolve
RungeKutta methods, trees, and
Mathematica
The SchmidtKolchin Conjecture
Schroedinger.m: A
Mathematica
Package for Solving the TimeIndependent Schrödinger Equation
The Shooting Method Revisited
Shooting the buckled plate
Simulation of Minimal Surfaces by Isovector Methods
Soliton solutions and symmetries of the 2+1 dimensional KaupKuperschmidt equation
Soliton solutions to the JimboMiwa equations and the FordyGibbonsJimboMiwa equation
The solution of KdV and mKdV equations using adomian pade approximation
Solutions of the Nonlinear Wave Equation utt=(uux)x Invariant under Conditional Symmetries
Solving Differential Equations with Computer Algebra Systems Software
Solving linear differential system with singular points
Solving Nonlinear BoundaryValue Problems with
Mathematica
Solving Orthogonal Matrix Differential Systems in
Mathematica
Solving Singularly Perturbed Riccati Equation with
Mathematica
Solving the Equations  uxx  euyy = f(x,y,u) by an O(h^4) Finite Difference Method
Some Applications, Properties and Conjectures for Higher Order Cumulants of a Markovian SteppingStone Model
Spectral analysis of onedimensional Schrödinger operators using series solutions
Stability of Polynomials
Stencils with isotropic discretization error for differential operators
Students and
Mathematica
: Swirl Discoveries: A 2D Linear Differential Equations Investigation
Symbolic analytical solution of Ndimensional radially symmetric polytropes
Symbolic Computation for Inverse BoundaryValue Problems and its Application to Impedance Tomography Reconstruction
Symbolic Computation of Conserved Densities for Systems of Nonlinear Evolution Equations
Symbolic derivation and numeric computation of dyadic Green's functions using
Mathematica
Symbolic Derivation of Finite Difference Approximations for the ThreeDimensional Poisson Equation
Symbolic preprocessing for simulation of PDE models of chemical processes
Symbolic software for the Painleve test of nonlinear ordinary and partial differential equations
Symbolic Solvers for Nonlinear Differential Equations
Symmetric Functions and the KP and BKP Hierarchies
Symmetry Analysis of Differential Equations with
Mathematica
Symmetry Analysis of Nonlinear Differential Equations with the
Mathematica
Program SYMMAN
Symmetry notebooks of ordinary differential equations
Travelling Wave Solutions to the TwoDimensional KdVBurgers Equation
Tricks of the Trade
Tricks of the Trade
Two Integrable Coupled Nonlinear Systems
The Use of
Mathematica
for the Analysis of Strongly Nonlinear Twodegreeoffreedom Systems by Means of the Modified LindstedtPoincaré Method
Using Computer Algebra to Calculate Approximate Symbolic Solutions of Nonlinear Evolution Equations
Version 3.0: Partial Differential Equations
The Vibrating EllipseShaped Drum
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