An algorithm for computing a standard form for second-order linear q-difference equations

NON-STANDARD FINITE DIFFERENCE METHOD FOR NUMERICAL SOLUTION OF SECOND ORDER LINEAR FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS

In this article we have considered a non-standard finite difference method for the solution of second order  Fredholm integro differential equation type initial value problems. The non-standard finite difference method and the composite trapezoidal quadrature method is used to transform the Fredholm integro-differential equation into a system of equations. We have also developed a numerical met...

non-standard finite difference method for numerical solution of second order linear fredholm integro-differential equations

in this article we have considered a non-standard finite difference method for the solution of second order  fredholm integro differential equation type initial value problems. the non-standard finite difference method and the composite trapezoidal quadrature method is used to transform the fredholm integro-differential equation into a system of equations. we have also developed a numerical met...

Variational Iteration Method for q-Difference Equations of Second Order

An Algorithm for Solving Second Order Linear Homogeneous Differential Equations

In th is paper we present an algor i thm for f inding a "c losed-form" solut ion of the dil l-erential equatiofl -1"'+ ql +by, where a and b are rational functions of a complex var iable .x. provided a "c losed-form" solut ion exists. The algor i thm is so arranged that i f no solut icrn is found. then no solut ion can exist . The frrst sect ion makes precise what is meant by "c losed-form" and...

An Algorithm for Nondominant Solutions of Linear Second-order Inhomogeneous Difference Equations

An algorithm is given for computing a weighted sum of a nondominant solution of a linear second-order inhomogeneous difference equation to a prescribed accuracy by estimating the truncation error. The present method is an extension of both the stable numerical method due to Olver and Sookne and a summation technique due to Deuflhard for computing minimal solutions of a homogeneous difference eq...