A class of numerical methods for the solution of fourth-order ordinary differential equations in polar coordinates
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Publication:447550
DOI10.1155/2012/626419zbMath1250.65105OpenAlexW2038940048WikidataQ58698671 ScholiaQ58698671MaRDI QIDQ447550
Jyoti Talwar, Ranjan Kumar Mohanty
Publication date: 4 September 2012
Published in: Advances in Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2012/626419
Nonlinear boundary value problems for ordinary differential equations (34B15) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical solution of boundary value problems involving ordinary differential equations (65L10)
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Cites Work
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- Numerical error bounds for fourth order boundary value problems, simultaneous estimation of u(x) and u(x)
- Iterative methods for a fourth order boundary value problem
- The iterative solutions for some fourth-order \(p\)-Laplace equation boundary value problems
- A necessary and sufficient condition for existence of positive solutions of nonlinear boundary value problems
- Multiple solutions of some fourth-order boundary value problems
- An efficient method for fourth-order boundary value problems
- Finite difference methods for computing eigenvalues of fourth order boundary value problems
- Multiderivative methods for non-linear second-order boundary value problems
- Existence and uniqueness theorems for fourth-order boundary value problems
- Two new finite difference methods for computing eigenvalues of a fourth order linear boundary value problem
- Boundary value problems occurring in plate deflection theory
- Solvability of some fourth (and higher) order singular boundary value problems
- On the radial flow of a viscous fluid between porous disks
- The method of lower and upper solutions for second, third, fourth, and higher order boundary value problems
- A three point boundary value problem for nonlinear fourth order differential equations.
- Fourth-order problems with nonlinear boundary conditions
- A numerical method for boundary value problems for singularly perturbed fourth-order ordinary differential equations
- A fourth-order finite difference method for the general one-dimensional nonlinear biharmonic problems of first kind
- Alternating Group Explicit Method For The Numerical Solution Of Non-Linear Singular Two-Point Boundary Value Problems Using A Fourth Order Finite Difference Method
- Finite difference methods for solving
- A Fourth-order Tridiagonal Finite Difference Method for General Non-linear Two-point Boundary Value Problems with Mixed Boundary Conditions
- BLOCK ITERATIVE METHODS FOR ONE DIMENSIONAL NONLINEAR BIHARMONIC PROBLEMS ON A PARALLEL COMPUTER*
- New algorithms for the numerical solution of one dimensional singular biharmonic problems of second kind
