ASV Ravi Kanth | National Institute Of Technology Kurukshetra (original) (raw)
Papers by ASV Ravi Kanth
This paper applies He’s variational iteration method for solving nonlinear singular boundary valu... more This paper applies He’s variational iteration method for solving nonlinear singular boundary value problems. The solution process is illustrated and various physically relevant results are obtained. Comparison of the obtained results with exact solutions shows that the method used is an effective and highly promising method for treating various classes of both linear and nonlinear singular boundary value problems.
Appl. Math. Comput, Jan 1, 2005
Physics Letters A, Jan 1, 2008
The purpose of this Letter is to introduce the differential transform technique as an alternative... more The purpose of this Letter is to introduce the differential transform technique as an alternative to existing methods in solving singular two-point boundary value problems and the method is implemented to three numerical examples. The concept of differential transformation was ...
Applied Mathematics and Computation, Jan 1, 2004
Applied Mathematics and Computation, Jan 1, 2003
The numerical treatment of the singular boundary value problems has always been far from trivial,... more The numerical treatment of the singular boundary value problems has always been far from trivial, because of the singularity. Jamet [4] has discussed existence and uniqueness of solutions of second-order linear singular boundary value problems and presented finite difference ...
Computer Physics Communications, Jan 1, 2009
Physics Letters A, Jan 1, 2008
Chaos, Solitons & Fractals, Jan 1, 2009
Applied Mathematics and Computation, Jan 1, 2003
A method of inner boundary condition is presented for solving two-point singular boundary value p... more A method of inner boundary condition is presented for solving two-point singular boundary value problem. The original interval is divided into two parts. An inner boundary condition is obtained by using a series solution. Then, a special finite difference method of order two is ...
Applied Mathematics and Computation, Jan 1, 2003
During the last few years much progress has been made in the numerical treatment of boundary valu... more During the last few years much progress has been made in the numerical treatment of boundary value problems over infinite intervals. Typically, these problems arise very frequently in fluid dynamics, aerodynamics, quantum mechanics, electronics, and other domains of science. ...
Proceedings of the... Congress of the Indian …, Jan 1, 2000
Chaos, Solitons & Fractals, Jan 1, 2009
In this paper, He's homotopy-perturbation method is applied on the higher-order boundary... more In this paper, He's homotopy-perturbation method is applied on the higher-order boundary value problems. This is accomplished by rewriting the higher-order boundary value problems in an equivalent system of integral equations. This alternative equivalent formulation places a ...
Computers & Mathematics with Applications, Jan 1, 2009
(2) View the MathML source where α 2n and β 2n (n=0,1, ,5) are finite real constants and the func... more (2) View the MathML source where α 2n and β 2n (n=0,1, ,5) are finite real constants and the functions f(x) and g(x) are continuous on [a, b]. This type of boundary-value problem arises in an infinite horizontal layer of fluid is heated from below, with the assumption that a ...
… Journal of Computer …, Jan 1, 2009
This paper applies He’s variational iteration method for solving nonlinear singular boundary valu... more This paper applies He’s variational iteration method for solving nonlinear singular boundary value problems. The solution process is illustrated and various physically relevant results are obtained. Comparison of the obtained results with exact solutions shows that the method used is an effective and highly promising method for treating various classes of both linear and nonlinear singular boundary value problems.
Appl. Math. Comput, Jan 1, 2005
Physics Letters A, Jan 1, 2008
The purpose of this Letter is to introduce the differential transform technique as an alternative... more The purpose of this Letter is to introduce the differential transform technique as an alternative to existing methods in solving singular two-point boundary value problems and the method is implemented to three numerical examples. The concept of differential transformation was ...
Applied Mathematics and Computation, Jan 1, 2004
Applied Mathematics and Computation, Jan 1, 2003
The numerical treatment of the singular boundary value problems has always been far from trivial,... more The numerical treatment of the singular boundary value problems has always been far from trivial, because of the singularity. Jamet [4] has discussed existence and uniqueness of solutions of second-order linear singular boundary value problems and presented finite difference ...
Computer Physics Communications, Jan 1, 2009
Physics Letters A, Jan 1, 2008
Chaos, Solitons & Fractals, Jan 1, 2009
Applied Mathematics and Computation, Jan 1, 2003
A method of inner boundary condition is presented for solving two-point singular boundary value p... more A method of inner boundary condition is presented for solving two-point singular boundary value problem. The original interval is divided into two parts. An inner boundary condition is obtained by using a series solution. Then, a special finite difference method of order two is ...
Applied Mathematics and Computation, Jan 1, 2003
During the last few years much progress has been made in the numerical treatment of boundary valu... more During the last few years much progress has been made in the numerical treatment of boundary value problems over infinite intervals. Typically, these problems arise very frequently in fluid dynamics, aerodynamics, quantum mechanics, electronics, and other domains of science. ...
Proceedings of the... Congress of the Indian …, Jan 1, 2000
Chaos, Solitons & Fractals, Jan 1, 2009
In this paper, He's homotopy-perturbation method is applied on the higher-order boundary... more In this paper, He's homotopy-perturbation method is applied on the higher-order boundary value problems. This is accomplished by rewriting the higher-order boundary value problems in an equivalent system of integral equations. This alternative equivalent formulation places a ...
Computers & Mathematics with Applications, Jan 1, 2009
(2) View the MathML source where α 2n and β 2n (n=0,1, ,5) are finite real constants and the func... more (2) View the MathML source where α 2n and β 2n (n=0,1, ,5) are finite real constants and the functions f(x) and g(x) are continuous on [a, b]. This type of boundary-value problem arises in an infinite horizontal layer of fluid is heated from below, with the assumption that a ...
… Journal of Computer …, Jan 1, 2009