The secant/finite difference algorithm for solving sparse nonlinear systems of equations
SIAM Journal on Numerical Analysis
The Sinc-Galerkin method for fourth-order differential equations
SIAM Journal on Numerical Analysis
Sinc methods for quadrature and differential equations
Sinc methods for quadrature and differential equations
The Schwarz alternating sinc domain decomposition method
Applied Numerical Mathematics
Journal of Computational and Applied Mathematics - Special issue: dedicated to William B. Gragg on the occasion of his 60th Birthday
Practical quasi-Newton methods for solving nonlinear systems
Journal of Computational and Applied Mathematics - Special issue on numerical analysis 2000 Vol. IV: optimization and nonlinear equations
Inexact quasi–Newton methods for sparse systems of nonlinear equations
Future Generation Computer Systems - I. High Performance Numerical Methods and Applications. II. Performance Data Mining: Automated Diagnosis, Adaption, and Optimization
A new method for the numerical solution of simultaneous nonlinear equations
Applied Mathematics and Computation
Journal of Computational Physics
On the Galerkin and collocation methods for two-point boundary value problems using sinc bases
Computers & Mathematics with Applications
A mini-review of numerical methods for high-order problems
International Journal of Computer Mathematics
Spline collocation method for solving linear sixth-order boundary-value problems
International Journal of Computer Mathematics
Imposing boundary conditions in Sinc method using highest derivative approximation
Journal of Computational and Applied Mathematics
Sinc-Galerkin method for numerical solution of the Bratu's problems
Numerical Algorithms
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The sinc-Galerkin method is used to approximate solutions of nonlinear problems involving nonlinear second-, fourth-, and sixth-order differential equations with homogeneous and nonhomogeneous boundary conditions. The scheme is tested on four nonlinear problems. The results demonstrate the reliability and efficiency of the algorithm developed.