A new algorithm based on differential transform method for solving multi-point boundary value problems
DOI10.1080/00207160.2015.1012070zbMath1343.65096OpenAlexW2043220644MaRDI QIDQ5739593
Cai-lian Zhou, Lie-jun Xie, Song Xu
Publication date: 19 July 2016
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207160.2015.1012070
algorithmnumerical examplenonlinearlinearseriesdifferential transform methodmulti-point boundary value problem
Nonlinear boundary value problems for ordinary differential equations (34B15) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)
Related Items (5)
Cites Work
- Unnamed Item
- Application of fuzzy differential transform method for solving fuzzy Volterra integral equations
- Improving the differential transform method: a novel technique to obtain the differential transforms of nonlinearities by the Adomian polynomials
- Analytic solution for telegraph equation by differential transform method
- The use of sinc-collocation method for solving multi-point boundary value problems
- A numerical solution to nonlinear second order three-point boundary value problems in the reproducing kernel space
- Solution of the boundary layer equation of the power-law pseudoplastic fluid using differential transform method
- An efficient algorithm for the multivariable Adomian polynomials
- A new algorithm for a class of linear nonlocal boundary value problems based on the reproducing kernel method
- Convenient analytic recurrence algorithms for the Adomian polynomials
- A novel method for nonlinear singular fourth order four-point boundary value problems
- Successive iteration and positive solution for nonlinear second-order three-point boundary value problems
- On numerical studies of multi-point boundary value problem and its fold bifurcation
- Uniqueness implies existence and uniqueness conditions for nonlocal boundary value problems for \(n\)th order differential equations
- Solution of differential-difference equations by using differential transform method
- Uniqueness of solutions of linear nonlocal boundary value problems
- Recurrence triangle for Adomian polynomials
- The solution of multipoint boundary value problems by the optimal homotopy asymptotic method
- A multi-step differential transform method and application to non-chaotic or chaotic systems
- A numerical algorithm for solving a class of linear nonlocal boundary value problems
- Numerical comparison of methods for solving a special fourth-order boundary value problem
- Third order boundary value problems with nonlocal boundary conditions
- Solving singular second order three-point boundary value problems using reproducing kernel Hilbert space method
- A new algorithm for calculating two-dimensional differential transform of nonlinear functions
- Solvability of a three-point nonlinear boundary value problem for a second order ordinary differential equation
- Solvability of \(m\)-point boundary value problems with nonlinear growth
- Solvability of multi-point boundary value problem at resonance. IV.
- Computation of analytical Laplace transforms by the differential transform method
- Reproducing kernel method for singular multi-point boundary value problems
- Comparing numerical methods for solving fourth-order boundary value problems
- Solutions of integral and integro-differential equation systems by using differential transform method
- Differential transform method for solving Volterra integral equation with separable kernels
- Solutions of nonlinear oscillators by the modified differential transform method
- A numerical algorithm for nonlinear multi-point boundary value problems
- A new algorithm for calculating one-dimensional differential transform of nonlinear functions
- Solution of difference equations by using differential transform method
- Solution of boundary value problems for integro-differential equations by using differential transform method
- A numerical solution to nonlinear multi-point boundary value problems in the reproducing kernel space
- Higher order multi-point boundary value problems
- Multi-point boundary value problem for optimal bridge design
- Differential transforms and circuit theory
- Positive solutions for singular systems of multi‐point boundary value problems
This page was built for publication: A new algorithm based on differential transform method for solving multi-point boundary value problems