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Bhatia, Saurabh
- A Class of the Backward Euler's Method for Initial Value Problems
Abstract Views :273 |
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1 University Institute of Engineering and Technology, Panjab University, Chandigarh 160 014, IN
1 University Institute of Engineering and Technology, Panjab University, Chandigarh 160 014, IN
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Research Journal of Engineering and Technology, Vol 6, No 1 (2015), Pagination: 207-211Abstract
In this paper, we propose a class of the backward Euler's method for the numerical solution of initial value problems of ordinary differential equations. The proposed class is constructed by considering a suitable interpolating function. The accuracy and stability of the proposed class are considered. A comparison of numerical results obtained by some of the proposed methods and the existing classical backward Euler's method is given which demonstrate that for the problems tested here the proposed methods outperform the existing classical method.Keywords
Ordinary Differential Equations, Initial Value Problems, Stability, Interpolation.- More Efficient Fifth-Order Method for Solving Systems of Nonlinear Equations
Abstract Views :135 |
PDF Views:1
Authors
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1 D.A.V. College, Chandigarh, 160010, IN
2 University Institute of Engineering and Technology, Panjab University, Chandigarh 160014, IN
1 D.A.V. College, Chandigarh, 160010, IN
2 University Institute of Engineering and Technology, Panjab University, Chandigarh 160014, IN
Source
Research Journal of Engineering and Technology, Vol 6, No 1 (2015), Pagination: 212-222Abstract
In this paper, we present a one-parameter family of fifth-order methods by extending Nedzhibov's third-order methods for solving systems of nonlinear equations. For a particular value of parameter, the new fifth-order method is more efficient as compared to the existing methods as its computational cost is less. Further, it requires two function evaluations, two first order Fr´echet derivatives and one matrix inversion per iteration. Numerical examples confirm that the proposed method is highly efficient and useful in solving systems of nonlinear equations.Keywords
System of Nonlinear Equations, Order of Convergence, Newton’s Method, Higher Order Methods, Computational Efficiency.- On Improved Steffensen Type Methods with Optimal Eighth-Order of Convergence
Abstract Views :145 |
PDF Views:1
Authors
Affiliations
1 University Institute of Engineering and Technology, Panjab University, Chandigarh 160014, IN
1 University Institute of Engineering and Technology, Panjab University, Chandigarh 160014, IN