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4 papers
A new operational matrix technique to solve linear boundary value problems
Udaya Pratap Singh
A new technique is presented to solve a class of linear boundary value problems (BVP). Technique is primarily based on an operational matrix developed from a set of modified Bernou…
A new technique to solve linear integro-differential equations (IDEs) with modified Bernoulli polynomials
Udaya Pratap Singh
In this work, a new technique has been presented to find approximate solution of linear integro-differential equations. The method is based on modified orthonormal Bernoulli polyno…
A new approach to find an approximate solution of linear initial value problems
Udaya Pratap Singh
This work investigates a new approach to find closed form analytical approximate solution of linear initial value problems. Classical Bernoulli polynomials have been used to derive…
Application of orthonormal Bernoulli polynomials for approximate solution of some Volterra integral equations
Udaya Pratap Singh
In this work, a new approach has been developed to obtain numerical solution of linear Volterra type integral equations by obtaining asymptotic approximation to solutions. Using th…