Manoj Kumar
College of Engineering Roorkee
7 Papers
46 Citations
Manoj Kumar is an academic researcher from College of Engineering Roorkee. The author has contributed to research in topics: Boundary value problem & Singular boundary method. The author has an hindex of 6, co-authored 7 publications.
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Papers
A difference method for singular two-point boundary value problems
TL;DR: A difference method based on uniform mesh for solving singular two- point boundary value problems of the form:(x^@ay^')^'=f(x,y),0
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A non-uniform mesh finite difference method and its convergence for a class of singular two-point boundary value problems
Manoj Kumar,Tariq Aziz +1 more
TL;DR: The construction of second-order three-point finite difference method based on non-uniform mesh for a class of singular two-point boundary value (BV) problem is discussed and its second- order convergence for various α ∈ (0, 1).
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A difference scheme based on non-uniform mesh for singular two-point boundary value problems
TL;DR: A difference scheme based on non-uniform mesh for singular two-point boundary value problems of the form:y''+1xy^'+f(x,y)=0,0
14
A new finite difference method for a class of singular two-point boundary value problems
TL;DR: The method, based on uniform mesh, provides O(h^4)-convergent approximations and is illustrated by two numerical examples, one is linear and another is non-linear.
13
A second order spline finite difference method for singular two-point boundary value problems
TL;DR: A second order spline finite difference method based on a non-uniform mesh for singular two-point boundary value problems of the form:x^-^@a(x^@au^')^'=f(x,u),0
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