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A Bessel collocation method for solving Bratu’s problem
In the present paper, we design a Bessel collocation method for solving one-dimensional nonlinear Bratu’s boundary value problem. Two numerical...
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A sixth order optimal B-spline collocation method for solving Bratu’s problem
In this paper, we describe an optimal B-spline collocation method to solve one-dimensional non-linear Bratu problem. Convergence result of the method...
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A new spectral collocation method for solving Bratu-type equations using Genocchi polynomials
In this paper, we have introduced a new Genocchi polynomial approximation method for solving Bratu-type equations arising in Engineering. With the...
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An efficient family of Chebyshev–Halley’s methods for system of nonlinear equations
We suggest a new high-order family of iterative schemes for obtaining the solutions of nonlinear systems. The present scheme is an improvisation and...
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An iterative technique for solving a class of local and nonlocal elliptic boundary value problems
An optimal iterative method is proposed for a reliable solution of a class of Bratu-type, Troesch’s and nonlocal elliptic boundary value problems...
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Uniform Haar wavelet technique with Newton’s method for a kind of derivative dependent SBVPs
This work deals with the construction of a coupled technique, uniform Haar wavelet and Newton–Raphson method for a kind (Lane–Emden–Fowler type) of...
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An optimal iterative algorithm for solving Bratu-type problems
Very Recently, Das et al. (J Math Chem 54:527–551,
2016 ) proposed a method based on variational iteration method for solving Bratu-type problems. In... -
An algorithm based on the variational iteration technique for the Bratu-type and the Lane–Emden problems
In this paper, a new algorithm for the numerical solution of the Bratu-type and the Lane–Emden problems with boundary conditions is presented. The...
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The variational spline method for solving Troesch’s problem
In this paper we present a variational approximation method for solving Troesch’s problem. The existence and the uniqueness of this problem are...