Usman Amjed - Academia.edu (original) (raw)
Master of philosophy in mathematics
Phone: 03026410427
Address: Gujrat, Punjab, Pakistan
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University of Agriculture, Faisalabad, Pakistan
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Papers by Usman Amjed
KY Publishers, 2021
In this work, we suggest the method of substitution of Laplace transformation to solve the partia... more In this work, we suggest the method of substitution of Laplace transformation to solve the partial differential equations involving more than two independent variables. In this work, using the substitution method and the Laplace transform, the inverse Laplace transform, the partial differential equations involving more than two independent variables with initial conditions, are solve less mathematical operations than the separation method of variables. By using the substitution method of Laplace solves the partial linear differential equations of partial mixed derivatives and using the substitution method of Laplace with variational iteration method solves the partial non-linear differential equation of partial mixed derivatives.
KY Publisher, 2021
The purpose of this paper is to present a definition of a novel integral transform, which we refe... more The purpose of this paper is to present a definition of a novel integral transform, which we refer to as the AMK-Transform. Also, properties, transformations of logarithmic, trigonometric, constants and other functions are also introduced. In addition, the use of transform and inverse of transform to solve ordinary linear differential equations is discussed.
KY Publishers, 2021
In this work, we suggest the method of substitution of Laplace transformation to solve the partia... more In this work, we suggest the method of substitution of Laplace transformation to solve the partial differential equations involving more than two independent variables. In this work, using the substitution method and the Laplace transform, the inverse Laplace transform, the partial differential equations involving more than two independent variables with initial conditions, are solve less mathematical operations than the separation method of variables. By using the substitution method of Laplace solves the partial linear differential equations of partial mixed derivatives and using the substitution method of Laplace with variational iteration method solves the partial non-linear differential equation of partial mixed derivatives.
KY Publisher, 2021
The purpose of this paper is to present a definition of a novel integral transform, which we refe... more The purpose of this paper is to present a definition of a novel integral transform, which we refer to as the AMK-Transform. Also, properties, transformations of logarithmic, trigonometric, constants and other functions are also introduced. In addition, the use of transform and inverse of transform to solve ordinary linear differential equations is discussed.