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Q2/ Use RDTM to solve the following nonlinear system: azu Ju(x,y,t) = u²v - 24+ (x² 2u ¼½ (3²+372) == at av(x,y,t) =u- at with initial conditions ay2 a²u + u(x,y, 0) ex-y v(x,y, 0) = ex+y Q3/ Find Adomian polynomial A, for the nonlinear term F(u). Q4/Use homotopy perturbation method to solve the following Helmholtz equation: a²u(x,y) ax² u(x, y) + - u(x, y) = 0, дуг with initial conditions u(o,y) =y, ux(0,y) = y + coshy.

Q2/ Use RDTM to solve the following nonlinear system: azu Ju(x,y,t) = u²v - 24+ (x² 2u ¼½ (3²+372) == at av(x,y,t) =u- at with initial conditions ay2 a²u + u(x,y, 0) ex-y v(x,y, 0) = ex+y Q3/ Find Adomian polynomial A, for the nonlinear term F(u). Q4/Use homotopy perturbation method to solve the following Helmholtz equation: a²u(x,y) ax² u(x, y) + - u(x, y) = 0, дуг with initial conditions u(o,y) =y, ux(0,y) = y + coshy.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Q2/ Use RDTM to solve the following nonlinear system: azu Ju(x,y,t) = u²v - 24+ (x² 2u ¼½ (3²+372) == at av(x,y,t) =u- at with initial conditions ay2 a²u + u(x,y, 0) ex-y v(x,y, 0) = ex+y Q3/ Find Adomian polynomial A, for the nonlinear term F(u). Q4/Use homotopy perturbation method to solve the following Helmholtz equation: a²u(x,y) ax² u(x, y) + - u(x, y) = 0, дуг with initial conditions u(o,y) =y, ux(0,y) = y + coshy.
Transcribed Image Text:Q2/ Use RDTM to solve the following nonlinear system: azu Ju(x,y,t) = u²v - 24+ (x² 2u ¼½ (3²+372) == at av(x,y,t) =u- at with initial conditions ay2 a²u + u(x,y, 0) ex-y v(x,y, 0) = ex+y Q3/ Find Adomian polynomial A, for the nonlinear term F(u). Q4/Use homotopy perturbation method to solve the following Helmholtz equation: a²u(x,y) ax² u(x, y) + - u(x, y) = 0, дуг with initial conditions u(o,y) =y, ux(0,y) = y + coshy.
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